You may need to use the appropriate appendix table or technology to answer this question. A simple random sample with n = 55 provided a sample mean of 28.5 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. to (b) Develop a 95% confidence interval for the population mean. to (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 larger margin of error and a more narrow confidence interval O As the confidence level increases, there is a smaller margin of error and a wider confidence interval As the confidence level increases, there is a larger margin of error and a wider confidence interval. O As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval.