Hypothesis testing Questions;

1. From 100 students of Law faculty, a random sample of 40 students has a sample mean GPA of 2.70 with a sample standard deviation of 0.50. The GPA is assumed to be normally distributed. An Academic &Research officer submit an academic report that the overall mean GPA for all Law students is not equal to 3.00. We want to test whether the mean GPA is not equal to 3.00.

State thenull and alternate hypothesis.

1. With a significance level of 5%, what is the critical value?
2. Formulate rejection rule.
3. With the given significance level, test the hypothesis.