The mean and the standard deviation

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The mean and the standard deviation of a random sample of n measurements are equal to 33.4 and 3.7, respectively.

a. Find a 90% confidence interval for µ if n= 144

b. Find a 90% confidence interval for µ if n= 576

c. Find the widths of the confidence intervals found in parts a and b.

What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?

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