10. A simple random sample of size n is drawn. The sample mean x is found to be 39.1, and the sample standard deviation s is found to be 9.7. a) (2 points) Construct a 90% confidence interval for the population mean u if the sample size n is 41. b) (2 points) Construct a 90% confidence interval for the population mean y if the sample size n is 101. c) (2 points) Construct a 99% confidence interval for the population mean y if the sample size n is 41. d) (1 point) From observing the answers to parts a) and b), what is the effect of increasing the sample size on the width of the confidence interval? e) (1 point) From observing the answers to parts a) and c), what is the effect of increasing the confidence % on the width of the confidence interval?