A statistician decided to conduct a survey for college students to find out the average (mean) amount of time students spent studying every week. The population standard deviation is 3 hours based on a previous study.

1) What is the required sample size (i.e. how many students to be surveyed) if the statistician wants the error is to be within 0.5 hour with a 95% level of confidence? [ 2 pt ]

2) Suppose now the statistician wants the confidence level at 99%, while allows the max error to be 1.5 hours. Will the required sample size increase or decrease compared to Part 1) above? By how many? [ 2 pt ]