Question

A psychologist investigates the differences between high-performing and low-performing salespersons with respect to certain psychological factors. A random sample is selected from each of the 2 groups and the 2 samplesof salespersons are given a battery of tests. The results of the test to measure subjects’ need for security are as follows: For the 16 high performers, the mean was 4.75 and variance was 2.25;for the 21 low performers, the mean was 3.25 and the variance was 2.00.

SOLUTION: Show complete 10-step hypothesis-test using the appropriate test statistic.

1.NullHypothesis , Ho: (in symbol and words of problem)

2.Alternative Hypothesis: H1: (in symbols and words of problem)

3.Conditions:

4.Assumptions

5.Formula of Test Statistic + its Sampling Distribution(name and properties)

6.Calculationsfor for Test Statistic (apply the formula)

7.Statistical Table Value(critical value)

8.Decision Rule:

9.Your Decision: (with justification)

10.Interpretation/Conclusion (about the hypothesis): (complete sentence in context of the problem)

Answer 1

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