A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found a confidence interval for the mean score to be between 520 and 554. What is the margin of error on the survey? Do not write on the margin of error.
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) \( 282\)
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.
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.)
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? \(\square \% \)
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