The Dean of the Business School at State University would like to test the hypot

Question

The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below. If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores, and using alpha = 0.05, the critical value for this hypothesis test would be ________. A) plusminus 1.771 B) 1.943 C) 2.998 D) plusminus 2.365

Explanation / Answer

Answer

D) ±2.365

Explanation: This is a paired sample t test, since the final exam grades of the same students has been taken for both the course. Also this is a two tailed test.

Significance level = 0.05

Degrees of freedom, df = n - 1 = 8 - 1 = 7

Critical value is obtained from the Student's t distribution table with df 7 at the significance level 0.05.

Therefore, the crtical value = ±2.365

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