The average number of days required by a college's undergraduate students to complete a project was 22 days in the previous year. The college administration wishes to determine whether the average differs this year. A sample of 20 students produced a sample mean of 20 days this year, with a sample standard deviation of 6 days. Assume that the number of days to complete the project is normally distributed.
1. State the null hypothesis and the alternative hypothesis.
2. Compute the value of the test statistic.
3. Compute the observed significance of the test.
4. Which of the following is the correct decision regarding the null hypothesis at 1% significance level?
a. Since p > α, the decision is to reject H0.
b. Since p > α, the decision is not to reject H0.
c. Since p ≤ α, the decision is to reject H0.
d. Since p ≤ α, the decision is not to reject H0.
e. Since p > α/2, the decision is to reject H0.