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Assume that females have pulse rates that are normally distributed with a mean of p=75.0 beats per minute and a standard deviation of 6 = 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 78 beats per minute. The probability is U (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (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? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

Assume that females have pulse rates that are normally distributed with a mean of p=75.0 beats per minute and a standard deviation of 6 = 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 78 beats per minute. The probability is U (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (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? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q 18 and 19 both plz
Assume that females have pulse rates that are normally distributed with a mean of u= 75.0 beats per minute and a standard deviation of o = 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 78 beats per minute. The probability is O (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (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? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
Transcribed Image Text:Assume that females have pulse rates that are normally distributed with a mean of u= 75.0 beats per minute and a standard deviation of o = 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 78 beats per minute. The probability is O (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (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? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 39 and the age of the winner for best actress was 57. For all best actors, the mean age is 46.6 years and the standard deviation is 6.8 years. For all best actresses, the mean age is 37.1 years and the standard deviation is 10.9 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z= and the z score for the actress is z= the V had the more extreme age. (Round to two decimal places.)
Transcribed Image Text:Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 39 and the age of the winner for best actress was 57. For all best actors, the mean age is 46.6 years and the standard deviation is 6.8 years. For all best actresses, the mean age is 37.1 years and the standard deviation is 10.9 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z= and the z score for the actress is z= the V had the more extreme age. (Round to two decimal places.)
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