5. One roll of a 'fair' six-sided die has an expected value or mean of 3.5 with a variance of 2.92. Suppose you plan to roll a die 60 times and compute the mean value in an effort to determine whether it is a fair die. (Fair in this case means that each of the six sides has an equal probability of being the roll value.) a. Use a z value of 1.85 to compute an interval around a fair die's population mean that can be compared to the mean of the 60 rolls of the potentially fair or unfair die if the mean of the sample is 3.3. b. When a z value of 1.85 is used to compute a confidence interval around an unfair die's sample mean from 60 rolls, what is the confidence level for the interval?
5. One roll of a 'fair' six-sided die has an expected value or mean of 3.5 with a variance of 2.92. Suppose you plan to roll a die 60 times and compute the mean value in an effort to determine whether it is a fair die. (Fair in this case means that each of the six sides has an equal probability of being the roll value.) a. Use a z value of 1.85 to compute an interval around a fair die's population mean that can be compared to the mean of the 60 rolls of the potentially fair or unfair die if the mean of the sample is 3.3. b. When a z value of 1.85 is used to compute a confidence interval around an unfair die's sample mean from 60 rolls, what is the confidence level for the interval?
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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Transcribed Image Text:**5. One roll of a ‘fair’ six-sided die has an expected value or mean of 3.5 with a variance of 2.92. Suppose you plan to roll a die 60 times and compute the mean value in an effort to determine whether it is a fair die. (Fair in this case means that each of the six sides has an equal probability of being the roll value.)**
a. Use a z value of 1.85 to compute an interval around a fair die’s population mean that can be compared to the mean of the 60 rolls of the potentially fair or unfair die if the mean of the sample is 3.3.
b. When a z value of 1.85 is used to compute a confidence interval around an unfair die’s sample mean from 60 rolls, what is the confidence level for the interval?
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