Question

A researcher is interested in comparing the GPAs of students whose first language was not English with that of the average student in the United States to see if there is any difference. He obtains a sample of 51 students whose first language was not English. This sample’s average GPA is 3.48 with a variance (s2) of 1.44. The average GPA of all students in the United States is 3.13. Set alpha equal to 0.05.

a. Write the null hypothesis in words. (1 point)

b. Set up the criteria for making a decision (i.e., find the critical value(s)). (1 point)

c. Compute the appropriate test statistic. Show your work. (4 points)

d. Evaluate the null hypothesis. Circle one. (1 point) Reject Fail to reject (circle one)

e. State your conclusion in words. (1 point)

f. Compute the 99% confidence interval. (2 points)

g. In words, interpret the confidence interval for your computations.

Answer 1

T critical values are taken from t table.