MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Assume that females have pulse rates that are normally distributed with a mean of
μ=73.0
beats per minute and a standard deviation of
σ=12.5
beats per minute. Complete parts​ (a) through​ (c) below.
 
 
 

Question content area bottom

Part 1
a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between
67
beats per minute and
79
beats per minute.
 
The probability is
0.36880.3688.
​(Round to four decimal places as​ needed.)
Part 2
b. If
25
adult females are randomly​ selected, find the probability that they have pulse rates with a mean between
67
beats per minute and
79
beats per minute.
 
The probability is
0.98360.9836.
​(Round to four decimal places as​ needed.)
Part 3
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 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 sample​ means, not​ individuals, 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.
 
choose which mutiple choice question is correct for part c
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