You may need to use the appropriate appendix table or technology to answer this question. A simple random sample with n = 33 provided a sample mean of 24.5 and a sample standard deviation of 4.4. (Round your answers to two decimal places.) (a) Develop a 90% confidence interval for the population mean. 23.24 X to 25.75 × (b) Develop a 95% confidence interval for the population mean. 22.99 X to 26.00 (c) Develop a 99% confidence interval for the population mean. 22.52 X to 26.47 (d) What happens to the margin of error and the confidence interval as the confidence level is increased? 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 more narrow confidence interval. 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 more narrow confidence interval.