Frazier Gibson

03/30/2023 · Middle School

Assume that females have pulse rates that are normally distributed with a mean of \( \mu=75.0 \) beats per minute and a standard deviation of \( \sigma=12.5 \) beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is 0.7123 . (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is 0.9974 . (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30 ? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. C. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. D. Since the mean pulse rate exceeds 30 , the distribution of sample means is a normal distribution for any sample size.