1etermine the margin of error for a confidence interval

Question

1. Determine the margin of error for a confidence interval estimate for the population mean of a normal distribution given the following information:

a. confidence level = 0.98, n = 13, s = 15.68

b. confidence level = 0.99, n = 25, s = 3.47

c. confidence level = 0.98, standard error = 2.356

2. The following sample data have been collected based on a simple random sample from a normally distributed population:     

2	8	0	2	3
5	3	1	4	2

a. Compute a 90% confidence interval estimate for the population mean.

b. Show what the impact would be if the confidence level is increased to 95%. Discuss why this occurs.