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. a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between 66 beats per minute and 80 beats per minute. The probability is b. If 16 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 66 beats per minute and 80 beats per minute. The c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30? A.Since the mean pulse rate exceeds​ 30, the distribution of sample means is a normal distribution for any sample size. B.Since the distribution is of​ individuals, not sample​ means, the distribution 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 original population has a normal​ distribution, the distribution of sample means is a normal distribution for any sample size. probability is

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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.

a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between 66 beats per minute and 80 beats per minute.

The probability is

b. If 16 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 66 beats per minute and 80 beats per minute.

The

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

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

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

probability is

 

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