ints Assume that females have pulse rates that are normally distributed with a mean of u 72.0 beats per minute and a standard deviation of a 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 79 beats per minute. The probability is (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 79 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 307 OA. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size OC. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.6: Unconstrained Maximization And Minimization With Several Variables
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Assume that females have pulse rates that are normally distributed with a mean of u 72.0 beats per minute and a standard deviation of a 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 79 beats per minute.
The probability is
(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 79 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 307
OA. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.
OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size
OC. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size
D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size
Transcribed Image Text:ints Assume that females have pulse rates that are normally distributed with a mean of u 72.0 beats per minute and a standard deviation of a 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 79 beats per minute. The probability is (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 79 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 307 OA. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size OC. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size
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