A college offers a self-paced course in algebra. College officials are interested in the number of hours it takes students to meet the objectives of the course. In a sample of 41 students, the mean number of hours was 76.6 with a standard deviation of 51.9. a. Construct a 98% confidence interval for the mean number of hours it takes for a student to meet the course objectives. Critical value: 2* or t* Margin of Error: E = Confidence Interval: = (Enter the positive one.) b. Interpret your result in part (a) in a complete sentence. c. Based on the confidence interval, can you conclude that it takes a student more than 65 hours to meet the course objectives? Yes No d. If you wanted a smaller margin of error, would you increase or decrease the sample size? Increase Decrease e. If you wanted a smaller margin of error, would you increase or decrease the confidence level? Increase Decrease