Q.2. Cramson business School randomly collected overall GPA from 100 junior business students and calculated the sample mean GPA of 3.32. They do not agree with the claim that the GPA of junior business students across the US is 3.48 and believes it to be less than that. Standard Deviation is 2. Conduct a hypothesis testing to see whether or not the claim is valid and answer the questions below.

1 What are the null hypothesis and alternative hypothesis here?

1. Assuming confidence level of 95% , determine the alpha and critical value.
2. Determine whether a left tailed, right tailed or two tailed test is performed.
3. Calculate the test statistics score ( z test or t test)
4. Compare the test statistics score with the critical value . Depict results graphically.
5. Determine whether the null hypothesis is rejected or not. Interpret results.