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Assume that females have pulse rates that are normally distributed with a mean of = 72.0 beats per minute and a standard deviation of = 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 ____.

(Round to four decimal places as needed.)

 

b. If 16 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?

◯ A. Since the mean pulse rate exceeds 30, the distribution of sample means 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 distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

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