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Step 3 (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,700 pounds? Since the elevator holds a maximum of 16 people and the average weight of each person is x, the weight capacity of 2,700 pounds will be exceeded when (16- 16 2 2,700. Step 4 We determined that the weight capacity is exceeded if 16x 2 2,700. In other words, if x 2 2700 ]× for a particular sample of 16 people, then the weight capacity will be exceeded.

Step 3 (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,700 pounds? Since the elevator holds a maximum of 16 people and the average weight of each person is x, the weight capacity of 2,700 pounds will be exceeded when (16- 16 2 2,700. Step 4 We determined that the weight capacity is exceeded if 16x 2 2,700. In other words, if x 2 2700 ]× for a particular sample of 16 people, then the weight capacity will be exceeded.

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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Step 1 (a) What is the mean of the sampling distribution of x? We are given that the average weight of students, faculty, and staff at a college is u = 165 pounds, that the standard deviation is a = 33 pounds, and that the distribution of weights of individuals on campus is approximately normal. We are asked to determine the mean for the sampling distribution of the sample mean, x, for a random sample of size n = 16. Recall the general property of the sampling distribution x: the mean is - = H. Therefore, - - 165 165 Step 2 (b) What is the standard deviation of the sampling distribution of x? Recall the general property of the sampling distribution x: the standard deviation is a- = We are given that the standard deviation is a = 33 pounds and the random sample has size n = 16. Use these values to calculate the mean for the sampling distribution of the sample mean. 33 33 16 33/4 8.25 Step 3 (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,700 pounds? Since the elevator holds a maximum of 16 people and the average weight of each person is x, the weight capacity of 2,700 pounds will be exceeded when (16 16 x2 2,700. iz2,700. Step 4 We determined that the weight capacity is exceeded if 16x 2 2,700. In other words, if x 2 2700 x for a particular sample of 16 people, then the weight capacity will be exceeded.
Transcribed Image Text:Step 1 (a) What is the mean of the sampling distribution of x? We are given that the average weight of students, faculty, and staff at a college is u = 165 pounds, that the standard deviation is a = 33 pounds, and that the distribution of weights of individuals on campus is approximately normal. We are asked to determine the mean for the sampling distribution of the sample mean, x, for a random sample of size n = 16. Recall the general property of the sampling distribution x: the mean is - = H. Therefore, - - 165 165 Step 2 (b) What is the standard deviation of the sampling distribution of x? Recall the general property of the sampling distribution x: the standard deviation is a- = We are given that the standard deviation is a = 33 pounds and the random sample has size n = 16. Use these values to calculate the mean for the sampling distribution of the sample mean. 33 33 16 33/4 8.25 Step 3 (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,700 pounds? Since the elevator holds a maximum of 16 people and the average weight of each person is x, the weight capacity of 2,700 pounds will be exceeded when (16 16 x2 2,700. iz2,700. Step 4 We determined that the weight capacity is exceeded if 16x 2 2,700. In other words, if x 2 2700 x for a particular sample of 16 people, then the weight capacity will be exceeded.
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