A simple random sample of 65 colleges and universities in the United State had a mean tuition of $18,633 with a standard deviation of $9,552. a. Construct a 83% confidence interval for the mean tuition for all colleges and universities in the United States. Critical value: z or t* = one.) Margin of Error: E = (Enter the positive Confidence Interval: b. Interpret your result in part (a) in a complete sentence. c. Based on the confidence interval, can you conclude that the mean tuition is less than $22,000? Yes No d. If you wanted a larger margin of error, would you increase or decrease the sample size? Increase Decrease e. If you wanted a larger margin of error, would you increase or decrease the confidence level? Increase Decrease