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Assume that females have pulse rates that are normally distributed with a mean of μ = 72.0 beats per minute and a standard deviation of a = 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 76 beats per minute. The probability is .6255. (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 76 beats per minute. The probability is. (Round to four decimal places as needed.)

Assume that females have pulse rates that are normally distributed with a mean of μ = 72.0 beats per minute and a standard deviation of a = 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 76 beats per minute. The probability is .6255. (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 76 beats per minute. The probability is. (Round to four decimal places as needed.)

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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Assume that females have pulse rates that are normally distributed with a mean of µ = 72.0 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 76 beats per minute. The probability is .6255 (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 76 beats per minute. The probability (Round to four decimal places as needed.)
Transcribed Image Text:Assume that females have pulse rates that are normally distributed with a mean of µ = 72.0 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 76 beats per minute. The probability is .6255 (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 76 beats per minute. The probability (Round to four decimal places as needed.)
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Follow-up Question
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​ individuals, not sample​ means, the distribution is a normal distribution for any sample size.
 
B.
Since the distribution is of sample​ means, not​ individuals, the distribution is a normal distribution for any sample size.
 
C.
Since the original population has a normal​ distribution, the distribution of sample means 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.
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