Question: Use the gss.sav data file to answer these questions. Assume the variances are equal and the distribution is normal.

In the General Social Survey people classified themselves as being very happy, pretty happy, or not

(a) Compute basic descriptive statistics for each of the three happiness groups

(b) Make boxplots of age for the three groups

(c) Does the assumption of equal variances in the groups appear reasonable? The assumption of

(d) Perform a one-wav analysis of variance on these data what can you conclude?

Which groups are significantly different from another using the Bonferroni?

(e) From the analysis-of-variance table, estimate the variance of the ages within each happiness group. What is your estimate of the standard deviation within the groups? How does this compare to the actual standard deviations of each group in the table of descriptive statistics?

(f) What are the three sample means that you have observed in the table of descriptive statistics? Based on the three sample means, what is your estimate of the variance of the ages within each happiness group?

(g) What is the value of the ratio of the two variances?

(h) If the null hypothesis is true, how often would you expect to see a ration of sample variances at least this large?