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Q:

Each server at a pancake restaurant covers a section containing $$11$$ tables for four. If there are five such sections in the restaurant, and five out of every eight customers order coffee, how many coffee orders are there when the restaurant is $$80 \%$$ occupied?

A) $$110$$

B) $$138$$

C) $$172$$

D) $$282$$

Q:

The overall change in Isaiah's score in the first two rounds of a video game is $$0$$ points. If his scored changed by $$- 22$$ points in the first round, by how much did his score change, by how much did his score change in the second round? Explain how you know.

Q:

In the country of United States of Heightlandia, the height measurements of ten-year- old children are approximately normally distributed with a mean of $$54.8$$ inches, and standard deviation of $$8.7$$ inches.

What is the probability that the heightoof a randomly chosen child is between $$61.25$$ and $$67.05$$ inches? Do not round until you get your your final answer, and then round to $$3$$ decimal places.

Answer $$= \quad$$ (Round your answer to $$3$$ decimal places.)

Q:

z-Scores and Area under the Curve

The National Sleep Foundation recommends that adults between $$18 - 64$$ years of age sleep between $$7$$ and $$9$$ hours per night. A researcher collected data on the amount of sleep that students in college slept per night. The data were approximately normally distributed with the following mean and standard deviation

mean $$= 6.4$$ hours

standard deviation $$= 1.9$$ hours

Use this information and the online normal distribution calculator to answer the questions below. Round your percents to two decimal places.

Note: Use z-scores rounded to two decimal places and the standard normal distribution to avoid roundoff errors.

What percent of students slept between 7 hours and 8 hours? $$\square \%$$ What percent of students slept less than 5.4 hours? $$\square \%$$ What percent of students slept more than 9.4 hours?  $$\square \%$$ What percent of students slept less than 1.39 hours or more than 11.29 hours? $$\square \%$$

Q:

Question $$1$$ Let the Universal Set, S, have $$101$$ elements. A and B are subsets of S. Set A contains $$65$$ elements and Set B contains $$17$$ elements. If Sets A and B have $$7$$ elements in common, how many elements are in A but not in B?

Answer $$= \square$$ elements

Q:

In a survey of $$102$$ pet owners, $$69$$ said they own a dog, and $$15$$ said they own a cat. $$7$$ said they own both a dog and a cat. How many owned neither a cat nor a dog?

Answer $$=$$ $$\square$$

Q:

A survey asks: Which online services have you used in the last month:

- Have used both

The results show 37\% of those surveyed have used Twitter, $$66 \%$$ have used Facebook, and $$11 \%$$ have used both.

$$\square \%$$

Q:

In a loan database, there are $$74$$ loans to clients with $$16$$ years of business experience. Also, there are $$91$$ loans made to clients with a Graduate education. In the database there are $$128$$ loans to clients with $$16$$ years of experience or who have a Graduate education. How many loans were made to clients with a Graduate education who also had $$16$$ years of experience?

Answer $$=$$  $$\square$$

Q:

A group of $$334$$ students were surveyed about the courses they were taking at their college with the following results:

$$178$$ students said they were taking Math.

$$155$$ students said they were taking English.

$$156$$ students said they were taking History.

$$38$$ students said they were taking Math and English.

$$70$$ students said they were taking Math and History.

$$98$$ students said they were taking English and History.

$$28$$ students said they were taking all three courses.

How many students took English and History, but not Math?

Q:

A survey asked buyers whether color, size, or brand influenced their choice of cell phone. The results are below.

$$213$$ said size.

$$193$$ said brand.

$$214$$ said color.

$$41$$ said size and brand.

$$95$$ said color and size.

$$88$$ said color and brand.

$$13$$ said all three.

$$95$$ said none of these

How many buyers were influenced by color and size, but not brand?

How many buyers were not influenced by color?

Q:

Question $$8$$ A survey asked $$246$$ people what alternative transportation modes they use. The results are below.

$$131$$ walk

$$129$$ use the bus

$$139$$ ride a bicycle

$$80$$ walk and use the bus

$$87$$ walk and ride a bicycle

$$82$$ ride the bus and ride a bicycle

$$50$$ said they use all three modes of transportation

How many people only ride the bus?

How many people don't use any alternate transportation?

Q:

Let the Universal Set be $$S$$ . Let $$A$$ and $$B$$ are subsets of $$S$$ . Set A contains $$36$$ elements and Set B contains $$21$$ elements. Sets $$A$$ and $$B$$ have $$6$$ elements in common. If there are $$34$$ elements that are in $$S$$ but not in $$A$$ nor $$B$$ , how many elements are in $$S$$ ?

Answer $$=$$  $$\square$$ elements

Q:

A survey asks $$228$$ people "What beverage do you drink in the morning?", and offers choices:

Coffee only

Tea only

Both tea and coffee

Neither tea nor coffee

Suppose $$76$$ report tea only, $$20$$ report coffee only, and $$60$$ report both.

How many people drink tea in the morning?

How many people drink coffee in the morning?

How many people drink neither tea nor coffee?

Q:

When playing roulette at a casino, a gambler is trying to decide whether to bet $$\ 5$$ on the number $$14$$ or to bet $$\ 5$$ that the outcome is any one of the five possibilities $$00$$ , $$0,1$$ , 2, or $$3$$ . The gambler knows that the expected value of the $$\ 5$$ bet for a single number is $$- 26¢$$ . For the $$\ 5$$ bet that the outcome is $$00,0,1,2$$ , or $$3$$ , there is a probability of $$\frac { 5 } { 38 }$$ of making a net profit of $$\ 30$$ and a $$\frac { 33 } { 38 }$$ probability of losing $$\ 5$$ .

a. Find the expected value for the $$\ 5$$ bet that the outcome is $$00,0,1,2$$ , or $$3$$ .

b. Which bet is better: a $$\ 5$$ bet on the number $$14$$ or a $$\ 5$$ bet that the outcome is any one of the numbers $$00,0,1,2$$ , or $$3$$ ? Why?

a. The expected value is $$\ \square$$ . (Round to the nearest cent as needed.)

b. Since the expected value of the bet on the number $$14$$ is $$\square$$ than the expected value for the bet that the outcome is $$00,0,1,2$$ , or $$3$$ , the bet on $$\square$$ is better.

Q:

A drug company is testing a new toothpaste in two flavors, regular and mint. In a sample of $$159$$ people, $$99$$ liked regular, $$75$$ liked mint, and $$20$$ liked both. How many liked regular or mint or both?

A) $$194$$

B) $$159$$

C) $$154$$

D) $$35$$

Q:

Consider the following set of ungrouped sample data. Answer parts A through D.

$$4 \quad 3\quad 4 \quad 3 \quad 0 \quad 1\quad 5 \quad 5$$

(A) Find the mean and standard deviation of the ungrouped sample data.

$$\overline { x } = \square$$ (Type an integer or a decimal.)

$$s = \square$$ (Type an integer or decimal rounded to three decimal places as needed.)

(B) What proportion of the measurements lies within $$1$$ standard deviation of the mean? Within $$2$$ standard deviations? Within $$3$$ standard deviations?

$$\square \%$$ of the data values fall within $$1$$ standard deviation of the mean.

$$\square \%$$ of the data values fall within $$2$$ standard deviations of the mean.

$$\square \%$$ of the data values fall within $$3$$ standard deviations of the mean.

(C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shaped? Explain.

A. Yes, because most of the data values fall near the mean with fewer data values farther from the mean.

B. Yes, because about the same number of data values fall near the mean as fall farther above and below the mean.

C. No, because most of the data values fall between $$2$$ and $$3$$ standard deviations from the mean.

D. No, because most of the data values fall farther than $$3$$ standard deviations from the mean.

Q:

Find (a) the range and (b) the standard deviation of the set of data.

$$8,11,5,14,8,5,12$$ $$\square$$

(a) The range is $$9$$

(b) The standard deviation is $$\square$$(Round to the nearest thousandth as needed)

Q:

Suppose you calculated the mean, median, and mode of a data set. The results are shown below. If each number in the data set was increased by $$3$$ units, what would be the new mean, median, and mode. Record the results below.

Mean: $$32$$

Median: $$43$$

Mode: $$57$$

New Mean:

New Median:

New Mode:

Q:

Suppose you calculated the range, standard deviation, and variance of a data set. The results are shown below. If each number in the data set was increased by $$4$$ units, what would be the new range, standard deviation, and variance. Record the results below.

Range: $$29$$

Standard Deviation: $$10$$

Variance: $$100$$

New Range:

New Standard Deviation:

New Variance:

Q:

For a sample size of $$9$$ with $$S S = 100$$ and sample mean $$M = 18.2 ,$$ what is the Confidence Interval (probability) that the true population mean will be between $$16.56$$ and $$19.84$$ ? Hint: You'll have to work backwards for this question

Q:

A researcher selects a sample of $$n = 25$$ individuals from a population with a mean of $$\mu = 103$$ and administers a treatment to the sample. If the researcher predicts that the treatment will decrease scores, then what is the correct statement of the alternative hypothesis for a directional (one-tailed) test?

$$\mu > 103$$

$$\mu = 103$$

$$\mu < 103$$

Q:

A researcher is conducting a directional (one-tailed) test with a sample of $$n = 11$$ to evaluate the effect of a treatment that is predicted to increase scores. If the researcher obtains $$t = 2.770$$ , what decision should be made? Hint: You'll need to look for the critical value(s) on the t-Table first.

The treatment has a significant effect with either $$\alpha =$$ $$.05$$ or $$\alpha = .01$$ .

The treatment has a significant effect with $$\alpha = .05$$ but not with $$a = .01$$ .

The treatment does not have a significant effect with either $$a = .05$$ or $$a = .01$$ .

The treatment has a significant effect with $$\alpha = .01$$ but not with $$\alpha = .05$$ .

Q:

Use Slatcrunch to construct a confidence interval to estimate the population mean given the following sample statistics.

In a study on body image, a simple random sample of $$54$$ ohio males are tested and their mean body fat was $$20.1$$ percent. Knowing that the standard devlation of body fat percentage is $$4.7$$ percent. Write a $$99 \%$$ confidence interval for the mean body fat percentage of Onio males. Write your answer using inequality notation.

Round your confidence interval limits to two decimal places.

Answer. Number $$< \mu <$$Number

Q:

The length of threading on an EMT box connector is approximately $$7 / 16$$ inch. The locknut is $$1 / 8$$ inch thick and the metal of the box is $$1 / 32$$ inch thick. Once installed, how much thread is left for a threaded bushing?

a. $$1 / 2$$ inch

b. $$1 / 4$$ inch

c. $$9 / 32$$ ths inch

d. $$7 / 16$$ ths inch

A motor brush is $$17 / 8$$ inches long. How long is it after $$49 / 64$$ th inch wears away?

a. $$17 / 64$$ ths inches

b. $$19 / 64$$ ths inches

c. $$11 / 2$$ inches

d. $$13 / 4$$ ths inches

Q:

The heights of adult men in America are normally distributed, with a mean of $$69.4$$ inches and a standard deviation of $$2.64$$ inches. The heights of adult women in America are also normally distributed, but with a mean of $$64.7$$ inches and a standard deviation of $$2.58$$ inches.

a) If a man is $$75$$ inches ( $$6$$ feet $$3$$ inches) tall, what is his $$z$$ -score (to two decimal places)? Recall: $$z = \frac { x - \mu } { \sigma }$$

b) What percentage of men are SHORTER than $$75$$ inches ( $$6$$ feet $$3$$ inches)? Round to nearest tenth of a percent.

c) If a woman is $$71$$ inches (5 feet $$11$$ inches tall), what is her $$z$$ -score (to two decimal places)?

d) What percentage of women are TALLER than $$71$$ inches (5 feet $$11$$ inches)? Round to nearest tenth of a percent.

e) Who is relatively taller: a $$63 ^ { \circ }$$ American man or a $$511 ^ { - }$$ American woman? The $$63$$ man is relatively shorter because he has a higher $$z$$ -score The $$511$$ woman is relatively taller because she has a higher $$z$$ -score The $$63$$ man is relatively taller because he has a higher $$z$$ -score The $$511$$ woman is relatively shorter because she has a higher $$z$$ -score

Q:

A teacher informs her intermediate accounting class (of $$500 +$$ students) that a test was very difficult, but the grades would be curved. Scores on the test were normally distributed with a mean of $$27.1$$ and a standard deviation of $$8.5 .$$ . Round your answers to at least one decimal place.

(a) If the top $$9 \%$$ will receive an $$A$$ , what is the minimum score to get an $$A$$ ?

(b) If the bottom $$34 \%$$ will receive an $$F$$ , what is the minimum score to pass the class?

Q:

Suppose $$X$$ is a normal random variable with $$\mu = 50$$

and $$\sigma = 7 .$$ What is the $$90$$ th percentile for $$X$$ ?

Q:

Let $$U = \{ 1,2,3,4,5,6,7,8,9,10 \}$$ be the universal set and let $$A = \{ 3,6,9 \}$$ be the set of multiples of $$3$$ that are less than $$10$$ . Write the set $$A ^ { c }$$ . Give your answer in proper set notation, for example $$\{ 1,2,3,4,5 \}$$ . Do not include $$A ^ { c } =$$ in your answer. Provide your answer.

Q:

The population of a city increased from $$20,900$$ to $$29,900$$ between $$2007$$ and $$2013$$ . Find the change of population per year if we assume the change was constant from $$2007$$ and $$2013$$ . The population increased by ___people per year.

Q:

The cost of a ticket to the circus is $$\ 10.00$$ for children and $$\ 31.00$$ for adults. On a certain day, attendance at the circus was $$1,300$$ and the total gate revenue was $$\ 31,900$$ . How many children and how many adults bought tickets?

The number of children was () and the number of adult was ()

Q:

A magazine includes a report on the energy costs per year for $$32$$ -inch liquid crystal display $$( L C D )$$ televisions. The article states that $$14$$ randomly selected 32-inch LCD televisions have a sample standard deviation of $$\ 3.15$$ . Assume the sample is taken from a normally distributed population. Construct $$90 \%$$ confidence intervals for (a) the population variance $$\sigma ^ { 2 }$$ and (b) the population standard deviation $$\sigma$$ . Interpret the results.

(a) The confidence interval for the population variance is $$( 5.77,21.89 )$$

(Round to two decimal places as needed.)

Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)

A. With $$10 \%$$ confidence, you can say that the population variance is greater than __

B. With $$10 \%$$ confidence, you can say that the population variance is between __and__

C.With $$90 \%$$ confidence, you can say that the population variance is between

$$5.77$$ and $$21.89$$

D. With $$90 \%$$ confidence, you can say that the population variance is less than __

(b) The confidence interval for the population standard deviation is $$( \square , \square )$$ . (Round to two decimal places as needed.)

Q:

A magazine includes a report on the energy costs per year for $$32$$ -inch liquid crystal display (LCD) televisions. The article states that $$14$$ randomly selected $$32$$ -inch LCD televisions have a sample standard deviation of $$\ 3.15$$ . Assume the sample is taken from a normally distributed population. Construct $$90 \%$$ confidence intervals for (a) the population variance $$\sigma ^ { 2 }$$ and $$( b )$$ the population standard deviation $$\sigma$$ . Interpret the results.

Q:

How many different committees can be formed from $$8$$ teachers and $$40$$ students if the committee consists of $$2$$ teachers and $$3$$ students?

The committee of $$5$$ members can be selected in $$\square$$ different ways.

Q:

Find the critical values $$\chi ^ { 2 }$$ and $$\chi _ { R } ^ { 2 }$$ for the given confidence level $$c$$ and sample size $$n$$ .

$$c= 0.9 , n = 26$$

$$\chi ^ { 2 } L = \square$$ (Round to three decimal places as needed.)

Q:

How many different, student body governments are possible if there are $$5$$ seniors, $$6$$ juniors, and $$7$$ sophomores running for the student body offices of senior class president, junior class president, and sophomore class president?

$$209$$

$$210$$

$$196$$

$$198$$

Q:

How many different license plates can be formed if each plate has $$5$$ different digits followed by $$1$$ letter?* *Do not include commas in your answer.

Q:

The sandwich shop has $$10$$ different sandwich meals, $$3$$ kinds of cheese, and $$5$$ condiments. How many different sandwiches can be made with one sand wich meal, one cheese, and one condiment?

Q:

in a survey of $$2324$$ adults, $$735$$ say they believe in UFOs.

Construct a $$90 \%$$ confidence interval for the population proportion of adults who believe in UFOs.

$$90 \%$$ confidence interval for the population proportion is $$( \square , \square )$$ . (Round to three decimal places as needed.)

Q:

In a survey of $$2527$$ adults in a recent year, $$1352$$ say they have made a New Year's resolution. Construct $$90 \%$$ and $$95 \%$$ confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The $$90 \%$$ confidence interval for the population proportion p is (Round to three decimal places as needed.)

Q:

In a survey of $$3042$$ adults, $$1466$$ say they have started paying bills online in the last year. Construct a $$99 \%$$ confidence interval for the population proportion. Interpret the results.

Q:

How many different ways can a(n) 8-member jury be selected from $$16$$ possible jury members?

Q:

The scores for $$10$$ students on a 50-point math test are $$40,47,50,31,47,23,46,38$$ ,

$$33$$ , and $$43$$ .

Find the mean, median, mode, and standard deviation for the data.

Round the standard deviation to two decimal places (to the nearest one-hundredth).

Q:

Recently, the national safety council collected data on the leading causes of accidental death. The findings revealed that for people age 20, 30 died from a fall, 47 from fire, 200 from drowning, and 1950 from motor vehicle accidents. What percent of the accidental deaths were not attributed to motor vehicle accidents? Round to the nearest percent.

Q:

During one year, approximately 2,080,000 ounces of gold went into the manufacturing of electronic equipment in a country. This was 13% of all the gold mined in the country that year. How many ounces of gold were mined in the country that year?

Q:

A school has $$5000$$ students. There are $$1500$$ freshman, $$1500$$ sophomores, $$1000$$ juniors, and $$1000$$ seniors. At 8:00 AM, all students are in class; there are $$200$$ classes that each have $$25$$ students.

The administration wants to give a survey asking the students about their favorite classes. They wish to poll $$100$$ students.

Dividing the students up by grade level, the administration chooses at random $$30$$ freshman, $$30$$ sophomores, $$20$$ juniors, and $$20$$ seniors. Those students randomly selected are given the survey.

What sampling method was used?

convenience

simple random sample

systematic

cluster

stratified

Q:

A school has $$5000$$ students. There are $$1500$$ freshman, $$1500$$ sophomores, $$1000$$ juniors, and $$1000$$ seniors. At 8:00 AM, all students are in class; there are $$200$$ classes that each have $$25$$ students. The administration wants to give a survey asking the students about their favorite classes. They wish to poll $$100$$ students. A random number generator is used to select a random number between $$1$$ and $$50$$ , and the number $$28$$ is chosen. Using the entire school roster, the school polls the $$28$$ th student on the list, and then every $$50$$ th student after. What sampling method was used? simple random sample

cluster

convenience

stratified

systematic

Q:

Many people go on a vacation over the summer. In an attempt to determine which location is a favorite amongst CBC students, a survey was taken of $$200$$ randomly selected students. They were asked to name where they were going on vacation this summer.

What is the population in this scenario?

All CBC students

All CBC faculty

The vacation locations

The $$200$$ students surveyed

What is the sample in this scenario?

All CBC students

All CBC faculty

The $$200$$ students surveyed

The vacation locations

Q:

Many people go on a vacation over the summer. In an attempt to determine which location is a favorite amongst CBC students, a survey was taken of $$200$$ randomly selected students. They were asked to name where they were going on vacation this summer.

What is the population in this scenario?

All CBC students

All CBC faculty

The vacation locations

The $$200$$ students surveyed

What is the sample in this scenario?

All CBC students

All CBC faculty

The $$200$$ students surveyed

The vacation locations

Q:

Assume that adults have IQ scores that are normally distributed with a mean of $$\mu = 105$$ and a standard deviation $$\sigma = 15$$ . Find the probability that a randomly cted adult has an $$1 Q$$ less than $$129$$ .

Q:

In how many ways can a committee of three men and four women be formed from a group of seven men and ten women?

Q:

Suppose that $$14$$ children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of elght months with a sample standard deviation of four months. Assume that the underlying population distribution is normal.

Define the random variable $$\overline { x }$$ in words.

The mean amount of time a single child uses training wheels.

The amount of time a single child uses training wheels.

The mean length of time for training wheels usage from a sample of $$14$$ children.

The population mean amount of time for training wheels usage for children.

Q:

Standard automobile license plates in a country display $$1$$ numbers, followed by $$2$$ letters, followed by $$4$$ numbers. How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.)

Q:

When drawn in standard position, the terminal side of angle $$\varphi$$ intersects with the unit circle at point $$P$$ . If $$\tan ( \varphi ) \approx 5.34$$ , which of the following coordinates could point $$P$$ have

$$( - 0.184,0.983 )$$

$$( - 0.983 , - 0.184 )$$

$$( - 0.184 , - 0.983 )$$

$$( 0.983 , - 0.184 )$$

Q:

Josiah and his friends are going to the movies. Each ticket costs $$\ 10$$ , and popcorn is $$\ 5$$ a bag. There is a $$\ 3$$ service fee for the entire purchase. He has $$\ 75$$ . If he buys $$4$$ tickets, what is the maximum number of bags of popcorn he can buy? Solve the inequality $$10 x + 5 y + 3 \leq 75$$ , where $$x =$$ number of tickets and $$y =$$ number of bags of popcorn, to answer the question.

A. $$5$$

B. $$7$$

C. $$6$$

D. $$10$$

Q:

Not everyone pays the same price for the same model of a car. The figure illustrates a normal distribution for the prices paid for a particular model of a new car. The mean is $$\ 19,000$$ and the standard deviation is $$\ 1000$$ . Use the $$68 - 95 - 99.7$$ Rule to find the percentage of buyers who paid more than $$\ 20,000$$ .

Q:

Use a standard normal distribution table to find the percent of the total area under the standard normal curve between the following $$z$$ -scores.

$$z = - 1.1$$ and $$z = - 0.5$$

Click the icon to view the standard normal distribution table. The percent of the total area between $$z = - 1.1$$ and $$z = - 0.5$$ is $$\square \%$$

(Round to the nearest integer.)

Q:

Find the critical values $$\chi _ { R } ^ { 2 }$$ and $$\chi _ { L } ^ { 2 }$$ for the given confidence level c and sample size $$n$$ .

$$c = 0.90 , n = 18$$

$$\chi _ { R } ^ { 2 } = \square$$ (Round to three decimal places as needed.)

Q:

In a survey of $$2312$$ adults in a recent year, $$1224$$ say they have made a New Year's resolution. Construct $$90 \%$$ and $$95 \%$$ confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals The $$90 \%$$ confidence interval for the population proportion p is $$( \square , \square )$$ . (Round to three decimal places as needed.)

Q:

A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than $$930$$ milligrams. A random sample of $$58$$ breakfast sandwiches has a mean sodium content of $$925$$ milligrams. Assume the population standard deviation is $$15$$ milligrams .S. At $$\alpha = 0.10$$ , do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e).

Q:

If $$\chi ^ { 2 } = 10.65$$ and the chi-square critical value is $$9.49$$ , what can be determined about the data?

The data does not match the model.

The data matches the model and works well.

The data matches the model but does not work well.

There is not enough information to determine whether the data matches the model.

Q:

Suppose the spinner shown to the right is spun once, to determine a single-digit number, and we are interested in the event $$E$$ that the resulting number is odd Give each of the following.

(a) the sample space

(b) the number of favorable outcomes

(c) the number of unfavorable outcomes

(d) the total number of possible outcomes

(e) the probability of an odd number

(f) the odds in favor of an odd number

Q:

Sixty percent of adults have looked at their credit score in the past six months if you select $$31$$ customers, what is the probabiify that at least $$25$$ of them have looked at their score in the past six months?

$$0.004$$

$$0.009$$

$$0.013$$

$$0.987$$

Q:

A population of values has a normal distribution with $$\mu = 108.4$$ and $$\sigma = 24.7 -$$ You intend to draw a random sample of $$40$$ items from this population.

Find the probability that the mean of this sample is less than $$95.9$$ .

Q:

A friend of yours has a bag full of jelly beans of different colors. He gives you $$4$$ jelly beans from the bag. If there are $$7$$ different colors of jelly beans in the bag, how many possible groups of jelly beans could he give you?

Q:

George and Peggy Fulwider bought a house from Sally Sinclair for $$\ 233,500$$ . In lieu of a $$10 \%$$ down payment, Ms. Sinclair accepted $$5 \%$$ down at the time of the sale and a promissory note from the Fulwiders for the remaining $$5 \% ,$$ due in $$4$$ years. The Fulwiders also agreed to make monthly interest payments to Ms. Sinclair at $$10 \%$$ interest until the note expires. The Fulwiders obtained a loan from their bank for the remaining $$90 \%$$ of the purchase price. The bank in turn paid the sellers the remaining $$90 \%$$ of the purchase price, less a sales commission of $$6 \%$$ of the purchase price, paid to the sellers' and the buyers' real estate agents. (a) Find the Fulwiders' down payment. $$11675$$ (b) Find the amount that the Fulwiders borrowed from their bank. $$210150$$

(c) Find the amount that the Fulwiders borrowed from Ms. Sinclair. $$11675$$ (d) Find the Fulwiders' monthly interest-only payment to Ms. Sinclar. $$97.29$$

(e) Find Ms. Sinclair's total income from all aspects of the down payment (including the down payment, the amount borrowed under the promissory note, and the monthly payments required by the promissory note).

(f) Find Ms. Sinclair's net income from the Fulwiders' bank.

(g) Find Ms. Sinclair's total income from all aspects of the sale.

Q:

The percentage of patients $$P$$ who have survived t years after initial diagnosis of a certain disease is modeled by the function $$P ( t ) = 100 ( 0.8 ) ^ { t }$$ .

(a) According to the model, what percent of patients survive $$1$$ year after initial diagnosis?

(b) What percent of patients survive $$3$$ years after initial diagnosis?

(c) Explain the meaning of the base $$0.8$$ in the context of this problem.

(a) According to the model, $$80 \%$$ of patients survive $$1$$ year after initial diagnosis. (Type an integer or a decimal.)

(b) According to the model, $$51.2 \%$$ of patients survive $$3$$ years after initial diagnosis. (Type an integer or a decimal.)

(c) Explain the meaning of the base $$0.8$$ in the context of this problem. Select the correct choice below and fill in the answer box to complete your choice.

A. As each year passes, $$20 \%$$ of the previous year's survivors have survived.

B. As each year passes, __$$\%$$ of the total patients have survived.

C. As each year passes, __$$\%$$ of the previous survivors take the diagnosis.

Q:

Fifty-seven percent of employees make judgments about their co-workers based on the cleanliness of their desk You randomly select $$8$$ employees and ask them if they judge co- workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?

Q:

Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that $$149$$ eligible voters aged $$18 - 24$$ are randomly selected. Suppose a previous study showed that among eligible voters aged $$18 - 24,22 \%$$ of them voted. Probability that exactly $$37$$ voted

The probability that exactly $$37$$ of $$149$$ eligible voters voted is $$\square$$ . (Round to four decimal places as needed.)

Q:

Instructions: Find the common difference of the arithmetic sequence.

$$- 5 , - 2,1,4,7$$

Q:

Among teenagers, $$73 \%$$ prefer watching shows over the internet, rather than through cable. If you asked $$48$$ teenagers if they preferred watching shows over the internet, rather than through cable, how many would you expect to say yes?

Q:

Here are summary statistics for the weights of Pepsi in randomly selected cans: $$n = 36 , \overline { x } = 0.82411 lb , s = 0.00566 lb$$ . Use a confidence level of $$90 \%$$ to complete parts (a) through (d) below.

a. Identify the critical value $$t _ { \alpha / 2 }$$ used for finding the margin of error.

$$t _ { \alpha / 2 } = 1.69$$

(Round to two decimal places as needed.)

b. Find the margin of error.

$$E = \square$$ lb (Round to five decimal places as needed.)

Q:

The following table shows the results of $$20$$ random Full Sail college students when asked

Complete a grouped frequency distribution for the data, with a class width of $$4$$ .

Which frequency distribution, if any, is correct?

Q:

Susie took $$5$$ test in her Algebra class. She scored an $$91,75,79,85$$ and $$87 .$$ What is the standard deviation of her grades in these test?

If necessary, round to the nearest hundredth. (We use population standard deviation.)

Choose one

$$32.64$$

$$5.21$$

$$5.71$$

$$27.14$$

Q:

Mr. Collins administered a final exam to his college Chemistry class. The results are shown in the following grouped frequency polygon.

According to the data shown in the graph, which of the following statements are correct?

Q:

Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance $$\alpha$$ , and sample size $$n$$ . Two-tailed test, $$\alpha = 0.01 , n = 20$$

The critical value(s) is/are ___(Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)

Q:

Use $$n = 10$$ and $$p = 0.3$$ to complete parts (a) through (d) below.

(a) Construct a binomial probability distribution with the given parameters.

Q:

$$H _ { 0 } : \mu = 39.095$$

$$H _ { 1 } : \mu \neq 39.095$$

Your sample consists of $$25$$ subjects, with a mean of $$38.5$$ and standard deviation of $$4.01 .$$

Calculate the test statistic, rounded to $$2$$ decimal places.

$$t =$$

Q:

$$H _ { 0 } : \mu = 29.16$$

$$H _ { 1 } : \mu > 29.16$$

Your sample consists of $$49$$ subjects, with a mean of $$29.9$$ and standard deviation of $$3.48$$ . Calculate the test statistic, rounded to $$2$$ decimal places.

$$t =$$

Q:

The table below gives the number of elementary school children in $$16$$ school districts in a particular region.

(a) Construct a cumulative frequency distribution.

(b) Construct a cumulative relative frequency distribution.

(c) Draw a frequency polygon.

(d) Draw a relative frequency ogive.

Q:

At Kensington Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between $$2013$$ and $$2014 ?$$

Q:

You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: Find the $$99 \%$$ confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

Q:

In a certain school district, it was observed that $$24 \%$$ of the students in the elementary schools were classified as only children (no siblings). However, in the special program for talented and gifted children, $$117$$ out of $$428$$ students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the $$\alpha = 0.01$$ level of significance.

What is the hypothesized population proportion for this test?

Based on the statement of this problem, how many tails would this hypothesis test have?

one-tailed test

two-tailed test

Choose the correct pair of hypotheses for this situation:

$$\begin{array} { | c| c| c| } \hline { \text { ( A) } } & \text { ( B) } & \text { ( C) } \\ \hline \hline H_ { 0} : p= 0.24 & H_ { 0} : p= 0.24 & H_ { 0} : p= 0.24 \\ H_ { a} : p< 0.24 & H_ { a} : p \neq 0.24 & H_ { a} : p> 0.24 \\ \hline \\ \hline \hline \text { ( D) } & \text { ( E) } &\text { ( F) } \\ \hline \hline H_ { 0} : p= 0.273 & H_ { 0} : p= 0.273 & H_ { 0} : p= 0.273 \\ H_ { a} : p< 0.273 & H_ { a} : p \neq 0.273 & H_ { a} : p> 0.273 \\ \hline \end{array}$$

Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic for this sample based on the sample proportion?

You are now ready to calculate the P-value for this sample.

This P-value (and test statistic) lęads to a decision to...

reject the null

fail to reject the null

Q:

A population of values has a normal distribution with $$\mu = 51.4$$ and $$\sigma = 74.7$$ . You intend to draw a random sample of size $$n = 31$$ .

Find the probability that a single randomly selected value is greater than $$24.6$$ .

$$P ( X > 24.6 ) =$$

Find the probability that a sample of size $$n = 31$$ is randomly selected with a mean greater than $$24.6$$ .

$$P ( M > 24.6 ) =$$

Enter your answers as numbers accurate to $$4$$ decimal places. Answers obtained using exact z-scores or z- scores rounded to $$3$$ decimal places are accepted.

Q:

In a recent poll, $$460$$ people were asked if they liked dogs, and $$66 \%$$ said they did. Find the margin of error of this poll, at the $$90 \%$$ confidence level. Give your answer to three decimals

Q:

A population of values has a normal distribution with $$\mu = 198.5$$ and $$\sigma = 75.2$$ . You intend to draw a random sample of size $$n = 211$$ . Find the probability that a single randomly selected value is between $$200.1$$ and $$210.9$$ .

$$P ( 200.1 < X < 210.9 ) =$$

Find the probability that a sample of size $$n = 211$$ is randomly selected with a mean between $$200.1$$ and

$$210.9$$ .

$$P ( 200.1 < M < 210.9 ) =$$

Enter your answers as numbers accurate to $$4$$ decimal places. Answers obtained using exact z-scores or z- scores rounded to $$3$$ decimal places are accepted.

Q:

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is $$39$$ for a sample of size $$13$$ and standard deviation $$18 .$$ Estimate how much the drug will lower a typical patient's systolic blood pressure (using a $$95 \%$$ confidence level). Give your answers to one decimal place and provide the point estimate with its margin of error.

Q:

You are conducting a study to see if the proportion al women over $$40$$ who regularly have mammograms is significantly less than $$0.2$$ . If your null and alternative hypothesis are:

$$H _ { 0 } : p \geq 0.2$$

$$H _ { 1 } : p < 0.2$$

Then the test is: two tailed right tailed left tailed

Q:

A doctor is concerned that nausea may be a side effect of Tamiflu, but is not certain because nausea is common for people who have the flu. She researched some past studies, and found that about 26% of people who get the flu and do not use Tamilflu experience nausea. She then collected data on 1828 patients who were taking Tamiflu, and found that 420 experienced nausea. Use a 0.1 significance level to test the claim that the percentage of people who take Tamiflu for the relief of flu symptoms and experience nausea is 26%.

Q:

A town's population has been growing linearty. In $$2003$$ the population was $$34,000$$ . The population has been growing by $$1200$$ people each year. Write an equation for the population, $$P , x$$ years after $$2003$$ .

$$P = \square$$ Use the formula to find the population in $$2009 :$$

Q:

A survey of $$10$$ fast-food restaurants noted the number of calories in a mid-sized hamburger. The results are given in the table below.

Calories in a mid-sized hamburger

514    508    501    498    497    507    458    478    462    515

Find the mean and sample standard deviation of these data. Round to the nearest hundredth.

Q:

Below are the times (in days) it takes for a sample of $$5$$ customers from Jina's computer store to pay their invoices.

$$44,26,32,35,43$$

Find the standard deviation of this sample of times. Round your answer to two decimal places.

Q:

On December $$17,2007$$ baseball writer John Hickey wrote an article for the Seattle P-I $$\vec { 1 }$$ about increases to ticket prices for Seattle Mariners games during the $$2008$$ season. The article included a data set that listed the average ticket price for each MLB team, the league in which the team plays (AL or NL), the number of wins during the $$2007$$ season and the cost per win (in dollars). The data for the $$16$$ National League teams are shown below.

$$\begin{array} { lllll} \text { team } & \text { league } & \text { price } & \text { wins } & \text { cost/win } \\ \hline \text { Arizona Diamondbacks } & N L & 19.68 & 90 & 35.40 \\ \text { Atlanta Braves } & N L & 17.07 & 84 & 32.89 \\ \text { Chicago Cubs } & N L & 34.30 & 85 & 65.33 \\ \text { Cincinnati Reds } & N L & 17.90 & 72 & 40.32 \\ \text { Colorado Rockies } & N L & 14.72 & 90 & 26.67 \\ \text { Elorida Marlins } & N L & 16.70 & 71 & 38.13 \\ \text { Houston Astros } & N L & 26.66 & 73 & 59.11 \\ \text { Los Angeles Dodgens } & N L & 20.09 & 82 & 34.64 \\ \text { Milwaukee Brewers } & N L & 18.11 & 83 & 35.37 \\ \text { N. Y. Mets } & N L & 25.28 & 88 & 46.56 \\ \text { Philadelphia Phillies } & N L & 26.73 & 89 & 48.69 \\ \text { Pittsburgh Pirates } & N L & 17.08 & 68 & 40.67 \\ \text { San Diego Padres } & N L & 20.83 & 89 & 38.15 \\ \text { San Francisco Giants } & N L & 24.53 & 71 & 56.00 \\ \text { St. Louis Cardinals } & N L & 29.78 & 78 & 61.91 \\ \text { Washington Nationals } & N L & 20.88 & 73 & 46.30 \\ \end{array}$$

Compute the correlation between average $$2007$$ price and cost per win for these $$16$$ teams. (Assume the correlation conditions have been satisfied and round your answer to the nearest $$0.001 . )$$

Q:

The table below gives the number of elementary school children in $$16$$ school districts in a particular region.

(a) Construct a cumulative frequency distribution.

(b) Construct a cumulative relative frequency distribution.

(c) Draw a frequency polygon.

(d) Draw a relative frequency ogive.

Q:

A sample of $$34$$ customers was taken at a local computer store. The customers were asked the prices of the computers they had bought. The data are summarized in the following table.

$$\begin{array} { | c| c| } \hline \text { Number of computers } & \text { Price ( in dollars) } \\ \hline 13 & 2300 \\ \hline 10 & 800 \\ \hline 5 & 1000 \\ \hline 6 & 700 \\ \hline \end{array}$$

Find the mean price for this sample. Round your answer to the nearest dollar.

Q:

(a) There are $$16$$ appetizers available at a restaurant. From these, Amy is to choose $$12$$ for her party. How many groups of $$12$$ appetizers are possible?

(b) From a collection of $$52$$ store customers, $$2$$ are to be chosen to receive a special gift. How many groups of $$2$$ customers are possible?

Q:

A coin will be tossed three times, and each toss will be recorded as heads $$( H )$$ or tails $$( T )$$ .

Give the sample space describing all possible outcomes.

Then give all of the outcomes for the event that the first toss is heads.

Use the format HTH to mean that the first toss is heads, the second is tails, and the third is heads.

Q:

A box has three cards numbered $$1,2 ,$$ and $$3 .$$

A bag has three balls labeled $$A , B$$ , and $$C$$

Raina will randomly pick a card from the box and record the number chosen.

Then she will randomly pick a ball from the bag and record the letter chosen.

Give the sample space describing all possible outcomes.

Then give all of the outcomes for the event that the number chosen is $$2$$ .

Use the format $$1 A$$ to mean that the number chosen is $$1$$ and the letter chosen is $$A$$ .

Q:

The states $$C$$ and $$D$$ spend a total of $$\ 54.2$$ million for tourism. The state $$C$$ spends $$\ 1.8$$ million more than the state $$D$$ . Find the amount that each state spends on tourism.

State D spends $$\ \square$$ million on tourism, and state $$C$$ spends $$\ \square$$ million on tourism.

Q:

There are $$43$$ runners in a race. How many ways can the runners finish first, second, and third?

Q:

A company that has $$250$$ employees chooses a committee of $$17$$ to represent employee retirement issues. When the committee is formed, none of the $$56$$ minority employees are selected.

(a) Use technology to find the number of ways $$17$$ employees can be chosen from $$250$$ .

(b) Use technology to find the number of ways $$17$$ employees can be chosen from $$194$$ nonminorities.

(c) What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)?