The random sample shown below was selected from a normal distribution.

3, 7, 7, 9, 6, 4

a. Construct a 95% confidence interval for the population mean .

b. Assume that sample mean x and sample standard deviation s remain exactly the same as those you just calculated but that are based on a sample of n=25 observations. Repeat part a. What is the effect of increasing the sample size on the width of the confidenceintervals?