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 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 each course is shown below.

Student 1 2 3 4 5 6 7 8 Marketing 82 86 74 93 90 76 87 100 Finance 76 91 70 79 96 70 85 81

If Population 1 is defined as the Marketing scores and Population 2 is defined as the Finance scores: 1. Define the hypothesis statement for this hypothesis test. 2. Use the critical value approach to test this hypothesis with = 0.05. 3. Use the p-value approach to test this hypothesis with = 0.05. 4. Construct a 95% confidence interval for the difference in population mean and interpret the results.

Explanation / Answer

————— 6/17/2017 3:37:30 AM ————————————————————

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Two-Sample T-Test and CI: marketing, finance

Two-sample T for marketing vs finance

N Mean StDev SE Mean
marketing 8 86.00 8.64 3.1
finance 8 81.00 9.35 3.3

Difference = (marketing) - (finance)
Estimate for difference: 5.00
95% CI for difference: (-4.72, 14.72)
T-Test of difference = 0 (vs ): T-Value = 1.11 P-Value = 0.287 DF = 13

t test critical value 2.1603

p value greater than alpha( result is not significant)

t value lessthan t critical value( result is not significant)

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