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 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 78 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 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 original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. OD. Since the mean pulse rate exceeds 30, the distribution of sample means is 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 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 78 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 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 original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. OD. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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2
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 a = 12.5 beats per minute. Complete parts (a) through (c)
H
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 4 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?
30²
F2
W
S
O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.
OC. Since the distribution is of sample means, not individuals, the distribution 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 distribution for any sample size.
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