# Performing a 5-step hypothesis testing

Do students at various universities differ in how sociable they are? Twenty-five students were randomly selected from each of three universities in a region and were asked to report on the amount of time they spent socializing each day with other students. The result for University X was a mean of 5 hours and an estimated population variance of 2 hours; for University Y, M = 4, S2 = 1.5; and for University Z, M = 6, S2 = 2.5. Using the 5 steps of hypothesis testing listed below, what should you conclude? (Refer to page 319 in the text for steps to complete this problem).

Step 1 (Restate the Question as a research hypothesis and null hypothesis about the populations)

Population 1:

Population 2:

Population 3:

Research Hypothesis:

Null Hypothesis:

Step 2 (Determine the characteristics of the comparison distribution)

df between:

What distribution?:

Step 3 (Using the .05 level, determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected)

Probability:

Degrees of freedom:

Cutoff score:

Step 4 (Determine your sample's score on the comparison distribution)

Between groups population variance estimate:

Within groups population variance estimate :

F:

Step 5 (Decide whether to reject the null hypothesis)

Figure the effect size for the study

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Do students at various universities differ in how sociable they are? Twenty-five students were randomly selected from each of three universities in a region and were asked to report on the amount of time they spent socializing each day with other students. The result for University X was a mean of 5 hours and an estimated population variance of 2 hours; for University Y, M = 4, S2 = 1.5; and for University Z, M = 6, S2 = 2.5. Using the 5 steps of hypothesis testing listed below, what should you conclude? (Refer to page ...

#### Solution Summary

The solution gives detailed steps on performing a 5-step hypothesis testing. All formula and calculations are shown and explained.