14.37 Going to bars and having friends Do people who go to bars and pubs a lot tend to have more friends? A recent GSS asked, “How often do you go to a bar or tavern?”

The table shows results of ANOVA for comparing the mean number of good friends at three levels of this variable.

The very often group reported going to a bar at least several times a week. The occasional group reported going occasionally, but not as often as several times a week

a. State the (i) hypotheses, (ii) test statistic value, and (iii) P-value for the significance test displayed in this table. Interpret the P-value.

b. Based on the assumptions needed to use the method in part

a, is there any aspect of the data summarized here that suggests that the ANOVA test and follow-up confidence intervals may not be appropriate? Explain.

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Summary of ANOVA for mean number of good friends and going to bars Very often Occasional Never Mean 12.1 6.4 6.2 Standard dev. 21.3 10.2 14.0 Sample size 41 166 215 Source DF SS MS F P Group 2 1116.8. 558.4 3.03 0.049 Error 419 77171.8 184.2 Total 421 78288.5