5. UMBC 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. 150 observations from population 1 (dual degree students) and 150 from population 2 (management only degree.) It is known from past studies that the population variance for dual degree students is 4.5 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 79 and the mean score for the management only students is 82.

Is there evidence that the dual degree students are receiving lower grades than regular management students?

• State the hypotheses.
• State the decision rule.
• Compute the test statistic
• What is your conclusion?

What is the p-value. What does it mean