Assume that females have pulse rates that are normally distributed with a mean of u = 74.0 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 81 beats per minute. The probability is 7122 (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 81 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 siz does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. OC. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal

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Assume that females have pulse rates that are normally distributed with a mean of u = 74.0
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
81 beats per minute.
The probability is .7122
(Round to four decimal places as needed.)
b. If 4 adult females are randomly selected, find the probability that they have pulse rates with
a mean less than 81 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 siz does not
exceed 30?
O A. Since the distribution is of individuals, not sample means, the distribution is a normal
distribution for any sample size.
O B. Since the distribution is of sample means, not individuals, the distribution is a normal
distribution for any sample size.
OC. Since the original population has a normal distribution, the distribution of sample
means is a normal distribution for any sample size.
O D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal
Transcribed Image Text:Assume that females have pulse rates that are normally distributed with a mean of u = 74.0 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 81 beats per minute. The probability is .7122 (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 81 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 siz does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. OC. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal
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