chnology to answer this question. A simple random sample with n-56 provided a sample mean of 27.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.) (a) Develop a 90% confidence interval for the population mean (b) Develop a 95% confidence interval for the population mean. (c) Develop a 99% confidence interval for the population mean to (d) What happens to the margin of error and the confidence interval as the confidence level is increased? O As the confidence level increases, there is a smaller margin of error and a more narrow confidence intervel As the contence level increases, there is a larger margin of error and a more narrow confidence interval As the confidence level increases, there is a larger margin of error and a wider confidence interval As the confidence level increases, there is a smaller margin of error and a wider confidence interval