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n to 5 o per of .02 .72 le A

n to 5 o per of .02 .72 le A

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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Why is it that the answer is letter B? What is the rule in identifying the margin of error with regards to the sample size? Thanks!

Two random samples, A and B, were selected from the same population to estimate the population mean. For each sample, the mean, standard deviation, and margin of error for a 95 percent confidence interval for the population mean are shown in the table. Sample A Sample B Mean 45 43 Standard Deviation 6.45 7.84 Margin of Error 1.02 0.72 Which of the following could explain why the margin of error of sample A is greater than the margin of error of sample B? (A) The sample size of A is greater than the sample size of B. (B) The sample size of A is less than the sample size of B. (C) The sample size of A is equal to the sample size of B. (D) The mean of sample A is greater than the mean of sample B. (E) The standard deviation of sample A is less than the standard deviation of sample B.
Transcribed Image Text:Two random samples, A and B, were selected from the same population to estimate the population mean. For each sample, the mean, standard deviation, and margin of error for a 95 percent confidence interval for the population mean are shown in the table. Sample A Sample B Mean 45 43 Standard Deviation 6.45 7.84 Margin of Error 1.02 0.72 Which of the following could explain why the margin of error of sample A is greater than the margin of error of sample B? (A) The sample size of A is greater than the sample size of B. (B) The sample size of A is less than the sample size of B. (C) The sample size of A is equal to the sample size of B. (D) The mean of sample A is greater than the mean of sample B. (E) The standard deviation of sample A is less than the standard deviation of sample B.
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How can we know that the sample size of A is less than B? The sample size of both is not stated in the problem. Thanks!

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