Question: At a private University in southern California, 334 freshmen (197 males and 137 females) reported their frequency of drinking alcoholic beverages and also completed a test of personality and psychological characteristics. One response variable was the score on a 12-item test of conscientiousness for which a high score indicates dependability. Summary statistics for three groups defined by frequency of binge drinking (five or more drinks in one session) are as follows:

Drinking Group ni xi si

nonbinge 162 32.49 7.15

occasional binge 67 29.93 6.43

frequent binge 105 30.10 6.45

1. write null and alternative hypotheses for comparing the mean conscientiousness score for the three groups. Write the hypotheses in words, and also write the null hypothesis using proper statistical notation.

c. The researchers did a one-way analysis of variance and reported the results as F=5.95, p<.0005

What does this result indicate about the null and alternative hypotheses for this problem?

d. Using the reported sample means, describe the differences among the mean conscientiousness scores for the three groups. Explain whether you think any observed differences have practical significance or not.

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