Kent University Business Management department is concerned that dual degree students may be receiving lower grades than the regular management students. Two independent random samples have been selected. 160 observations from population 1 (dual degree students) and 140 from population 2 (management only degree.) It is known form past studies that the population variance for dual degree students is 4.6 and the population variance for management only students is 5.0. The current study found that the mean score for the dual degree students is 81 and the mean score for the management only students is 83.
Is there evidence that the dual degree students are receiving lower grades than regular management students?
a. State the hypotheses
b. State the decision rule
c. Compute the test statistic
d. What is your conclusion?
e. What is the p-value. What does it mean?