Assume that females have pulse rates that are normally distributed with a mean of µ = 75.0 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 82 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 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the ormal distributio used in part (b), even though the sample size 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. O C. 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 a normal distribution for any sample size.
Assume that females have pulse rates that are normally distributed with a mean of µ = 75.0 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 82 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 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the ormal distributio used in part (b), even though the sample size 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. O C. 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 a normal distribution for any sample size.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Assume that females have pulse rates that are normally distributed with a mean of µ = 75.0 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 82 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 82 beats per minute.
The probability is
(Round to four decimal places as needed.)
c. Why can the
ormal distributio
used in part (b), even though the sample size 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.
O C. 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
a normal distribution for any sample size.
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