The following random sample was selected from a normal distribution: 4,6,3,5,9,3.

a. Construct a 90% confidence interval for the population mean p.

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

c. Construct a 99% confidence interval for the population mean p.

d. Assume that the sample mean 2 and sample standard deviation s remain exactly the same as those you just calculated but that they are based on a sample of n = 25 observations rather than n = 6 observations.
Repeat parts a-c. What is the cffect of increasing the sample size on the width of the confidence intervals?