Television advertisers base their investment decisions regardingthe promotion of their products and services on demographicinformation about television viewers. The age of the viewers is akey factor in their process. The following table shows the numberof hours that a random sample of individuals watched televisionduring the week. The individuals are grouped according to theirages. Minitab is required. You will need to enter the data intoMinitab.
Age Group |
18-24 | 25-34 | 35-49 | 50-64 |
49 | 41 | 44 | 39 |
33 | 40 | 19 | 14 |
33 | 33 | 27 | 15 |
39 | 35 | 36 | 17 |
71 | 21 | 49 | 20 |
a. At the 0.05 level of significance, determine if there is adifference in the mean number of hours of television watched by agegroup. State your hypotheses and show all 7 steps clearly. (14points)
b. Give and interpret the p-value. (3 points)
c. Should Tukey pairwise comparisons be conducted? Why or whynot? (3 points)
d. If appropriate, use Minitab to produce Tukey pairwisecomparison. Write a few sentences with your conclusions from thosecomparisons. (4 points)
e. Use Levene’s test to determine if the assumption ofhomogeneity of variances is valid. Give the hypotheses, teststatistic, p-value, decision, and conclusion. Use the 0.05 level ofsignificance. (8 points)
f. Verify with Minitab by attaching or including relevantoutput. (6 points)