Recall the scenario: The mean age for all Foothill College students for the last few years is 33.2. The population standard deviation has been pretty consistent at 15. Suppose that 25 Winter students were randomly selected. The mean age for the sample was 30.4. You are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student.Using the same mean, standard deviation, and level of confidence, suppose that n was 69 instead of 25. Would the error bound become larger or smaller? How do you know? Include the error bound for both sample sizes in your answer.Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level was reduced to 90%? Explain. Include the error bound for both sample sizes in your answer.

Sample size and level of confidence affect the error bound.

Answered: Recall the scenario: The mean age for…

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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Recall the scenario: The mean age for all Foothill College students for the last few years is 33.2. The population standard deviation has been pretty consistent at 15. Suppose that 25 Winter students were randomly selected. The mean age for the sample was 30.4. You are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student.

Using the same mean, standard deviation, and level of confidence, suppose that n was 69 instead of 25. Would the error bound become larger or smaller? How do you know? Include the error bound for both sample sizes in your answer.
Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level was reduced to 90%? Explain. Include the error bound for both sample sizes in your answer.

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