Please answer all parts to this question

A simple random sample of 60 items resulted in a sample mean of 74. The population standard deviation is 13. a. Compute the 95% confidence interval for the population mean (to 1 decimal). b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). c. What is the effect of a larger sample size on the margin of error? Select The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses. Assume that a sample of 450 college students was used in the study. a. Provide a 95% confidence interval for the population proportion of college students who work to pay for tuition and living expenses (to 4 decimals). b. Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses (to 4 decimals). c. What happens to the margin of error as the confidence is increased from 95% to 99%? Select