A simple random sample of size n is drawn. The

A simple random sample of size n is drawn. The sample mean, x, is found to be 18.4, and the sample standard deviation,s, is found to be 4.5.,(a) Construct a 95% con?dence interval for µ if the sample size, n, is 35.,(b) Construct a 95% con?dence interval for µ if the sample size, n, is 50. How does increasing the sample size affect the margin of error, E?,(c) Construct a 99% con?dence interval for µ if the sample size, n, is 35. Compare the results to those obtained in part (a). How does increasing the level of con?dence affect the margin of error, E?,(d) If the sample size is n = 15, what conditions must be satis?ed to compute the con?dence interval?