Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. Question content area bottom Part 1 a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 67 beats per minute and 81 beats per minute. The probability is 0.42450.4245. (Round to four decimal places as needed.) Part 2 b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 67 beats per minute and 81 beats per minute. The probability is 0.73730.7373. (Round to four decimal places as needed.) Part 3 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 distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the original population has a normal distribution, the distribution of sample means 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.
Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. Question content area bottom Part 1 a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 67 beats per minute and 81 beats per minute. The probability is 0.42450.4245. (Round to four decimal places as needed.) Part 2 b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 67 beats per minute and 81 beats per minute. The probability is 0.73730.7373. (Round to four decimal places as needed.) Part 3 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 distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the original population has a normal distribution, the distribution of sample means 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Assume that females have pulse rates that are normally distributed with a mean of
μ=74.0
beats per minute and a standard deviation of
σ=12.5
beats per minute. Complete parts (a) through (c) below.Question content area bottom
Part 1
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between
67
beats per minute and
81
beats per minute.The probability is
0.42450.4245.
(Round to four decimal places as needed.)
Part 2
b. If
4
adult females are randomly selected, find the probability that they have pulse rates with a mean between
67
beats per minute and
81
beats per minute.The probability is
0.73730.7373.
(Round to four decimal places as needed.)
Part 3
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.
Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.
Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.
Expert Solution
Step 1
The mean is 74 and the standard deviation is 12.5.
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