By what factor does the length of the interval in Prob. 2 change if we double the

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By what factor does the length of the interval in Prob. 2 change if we double the sample size?

Data from Prob. 2

Find a 95% confidence interval for the mean of a normal population with standard deviation 4.00 from the sample 39, 51, 49, 43, 57, 59. Does that interval get longer or shorter if we take γ = 0.99 instead of 0.95? By what factor?

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