An individual teacher for two sections of MTH454 at the University of Michigan wanted to test the hypothesis that a required MyMathLab component in one of his sections would significantly improve student scores on the departmental Final Examination.

He decided to try to answer this question using a formal hypothesis test.

He correctly chose to perform a z-Test for Two Independent Samples (Sec. 8.1) with the assumption that the sample standard deviations are valid estimates for the true population standard deviations.

He set = 0.01

His data were as follows:

Section 1 (MyMathLab Group)Section 2 (Control Group)

79.6Mean 77.1

9.0St.Dev7.2

81n 64

QUESTIONS:

a) Is the test Right-tailed, Left-tailed, or Two-tailed?____________________

b) How would you symbolically write the Null Hypothesis:

Ho:____________________

c) What is the Critical Value(s)?z =____________________

d) What is the value of the Test Statistic?z = ___________________

e) Based on your answer in d),

would you Reject or would you Fail to Reject the Null Hypothesis?___________________

f) What is the p-value for this study?P = ___________________