Question

33. Use the following information for questions 31-34: The average GPA for all college students in the United States as of 2006 was 3.11.  We want to test to see if the GPA of students at Texas A&M is higher than the national average.  Suppose we survey 47 randomly selected students at Texas A&M and the average GPA is 3.27, with a standard deviation of 0.54.  Assuming all conditions are met, conduct a hypothesis test at the 0.01 significance level.

What is the value of the test statistic?

	a.	-13.93
	b.	-2.03
	c.	0
	d.	0.30
	e.	2.03

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   =3.11

Ha : >3.11

Test statistic = z

= ( - ) / / n

= (3.27-3.11) /0.54 / 47

Test statistic = 2.03