The mean and standard deviation of a random sample of n measurements are equal to 33 9 and 3 3, respectively a Find a 95 confidence interval for if n 100 b Find a 95 confidence interval for if n 400 c Find the widths of the confidence intervals you calculated 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

Question: The mean and standard deviation of a random sample of n measurements are equal to 33.9 and 3.3, respectively. a. Find a 95% confidence interval

The mean and standard deviation of a random sample of n measurements are equal to 33.9 and 3.3, respectively.
a. Find a 95% confidence interval for µ if n = 100.
b. Find a 95% confidence interval for µ if n = 400.
c. Find the widths of the confidence intervals you calculated 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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