A hybrid course is one that contains both online and classroom instruction. In a study performed at Middle Georgia State University, a software package was used as the main source of instruction in a hybrid college algebra course. The software tracked the number of hours it took for each student to meet the objectives of the course. In a sample of 45 students, the mean number of hours was 80.5, with a standard deviation of 51.2.

a. Construct a 95% confidence interval for the mean number of hours it takes for a student to meet the course objectives.

b. If a sample of 90 students had been studied, would you expect the confidence interval to be wider or narrower than the interval constructed in part (a)?
Explain.