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The following table lists the number of pages in four different types of magazines.
| home decorating | news | health | computer |
|---|---|---|---|
| 172 | 87 | 82 | 104 |
| 286 | 94 | 153 | 136 |
| 163 | 123 | 87 | 98 |
| 205 | 106 | 103 | 207 |
| 197 | 101 | 96 | 146 |
Using a significance level of 5%, test the hypothesis that the four magazine types have the same mean length.
Eliminate one magazine type that you now feel has a mean length different than the others. Redo the hypothesis test, testing that the remaining three means are statistically the same. Use a new solution sheet. Based on this test, are the mean lengths for the remaining three magazines statistically the same?
Which two magazine types do you think have the same variance in length?
Which two magazine types do you think have different variances in length?
A researcher wants to know if the mean time (in minutes) that people watch their favorite news station are the same. Suppose that the table below shows the results of a study.
| CNN | FOX | Local |
|---|---|---|
| 45 | 15 | 72 |
| 12 | 43 | 37 |
| 18 | 68 | 56 |
| 38 | 50 | 60 |
| 23 | 31 | 51 |
| 35 | 22 |
Are the means for the final exams the same for all statistics class delivery types? The table below shows the scores on final exams from several randomly selected classes that used the different delivery types.
| Online | Hybrid | Face-to-Face |
|---|---|---|
| 72 | 83 | 80 |
| 84 | 73 | 78 |
| 77 | 84 | 84 |
| 80 | 81 | 81 |
| 81 | 86 | |
| 79 | ||
| 82 |
Are the mean number of times a month a person eats out same for whites, blacks, Hispanics and Asians? Suppose that the table below shows the results of a study.
| White | Black | Hispanic | Asian |
|---|---|---|---|
| 6 | 4 | 7 | 8 |
| 8 | 1 | 3 | 3 |
| 2 | 5 | 5 | 5 |
| 4 | 2 | 4 | 1 |
| 6 | 6 | 7 |
Are the mean number of daily visitors to a ski resort the same for the three types of snow conditions? Suppose that the table below shows the results of a study.
| Powder | Machine Made | Hard Packed |
|---|---|---|
| 1210 | 2107 | 2846 |
| 1080 | 1149 | 1638 |
| 1537 | 862 | 2019 |
| 941 | 1870 | 1178 |
| 1528 | 2233 | |
| 1382 |
Is the variance for the amount of money, in dollars, that shoppers spend on Saturdays at the mall the same as the variance for the amount of money that shoppers spend on Sundays at the mall? Suppose that the table below shows the results of a study.
| Saturday | Sunday |
|---|---|
| 75 | 44 |
| 62 | 137 |
| 18 | 58 |
| 0 | 82 |
| 150 | 61 |
| 124 | 39 |
| 94 | 19 |
| 50 | 127 |
| 62 | 99 |
| 31 | 141 |
| 73 | 60 |
| 118 | 73 |
| 89 |
Are the variances for incomes on the East Coast and the West Coast the same? Suppose that the table below shows the results of a study. Income is shown in thousands of dollars.
| East | West |
|---|---|
| 38 | 71 |
| 47 | 126 |
| 30 | 42 |
| 82 | 51 |
| 75 | 44 |
| 52 | 90 |
| 115 | 88 |
| 67 |
**Exercises 11 - 16 were contributed by Dr. Larry Green
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