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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 σ = 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 between 71 beats per minute and 79 beats per minute. The probability is ________ (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 71 beats per minute and 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 30? - A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. - B. Since the original population has a normal distribution, the distribution of individual items is a normal distribution for any sample size. - C. Since the distribution is of individuals, not sample means, the distribution is normal regardless of sample size. - D. Since the distribution is of sample means, not individuals, the distribution is normal regardless of sample size. Click to select your answer(s).

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 σ = 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 between 71 beats per minute and 79 beats per minute. The probability is ________ (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 71 beats per minute and 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 30? - A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. - B. Since the original population has a normal distribution, the distribution of individual items is a normal distribution for any sample size. - C. Since the distribution is of individuals, not sample means, the distribution is normal regardless of sample size. - D. Since the distribution is of sample means, not individuals, the distribution is normal regardless of sample size. Click to select your answer(s).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 σ = 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 between 71 beats per minute and 79 beats per minute. The probability is ________ (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 71 beats per minute and 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 30? - A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. - B. Since the original population has a normal distribution, the distribution of individual items is a normal distribution for any sample size. - C. Since the distribution is of individuals, not sample means, the distribution is normal regardless of sample size. - D. Since the distribution is of sample means, not individuals, the distribution is normal regardless of sample size. Click to select your answer(s).
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 σ = 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 between 71 beats per minute and 79 beats per minute. The probability is ________ (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 71 beats per minute and 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 30? - A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. - B. Since the original population has a normal distribution, the distribution of individual items is a normal distribution for any sample size. - C. Since the distribution is of individuals, not sample means, the distribution is normal regardless of sample size. - D. Since the distribution is of sample means, not individuals, the distribution is normal regardless of sample size. Click to select your answer(s).
Expert Solution
Step 1

Let "X" be female pulse rates in bpm.

Draw the normal curve and shade the area between z=-0.32 and z=0.32.

Statistics homework question answer, step 1, image 1

The required shaded area under the normal curve is

Refer to Standard normal table/Z-table to find the probability of z=0.32 and z=-0.32 to the left of the normal curve.

OR

Use excel formula "=NORM.S.DIST(0.32, TRUE)" and "=NORM.S.DIST(-0.32, TRUE)" to find the probability.

 

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