Assume that females have pulse rates that are normally distributed with a mean of μ=75.0beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below. a....


Assume that females have pulse rates that are normally distributed with a mean of μ=75.0beats per minute and a standard deviation of σ=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 82beats per minute.



b. If 4 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 82 beats per minute.


c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?







A.


Since the original population has a normal​ distribution, the distribution of sample means 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 mean pulse rate exceeds​ 30, the distribution of sample means is a normal distribution for any sample size.






D.


Since the distribution is of​ individuals, not sample​ means, the distribution is a normal distribution for any sample size.







Jun 08, 2022
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