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question 1 of 6, step 1 of 3
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students at a major university believe they can save money buying textbooks online rather than at the local bookstores. in order to test this theory, they randomly sampled 25 textbooks on the shelves of the local bookstores. the students then found the \best\ available price for the same textbooks via online retailers. the prices for the textbooks are listed in the following table. based on the data, is it less expensive for the students to purchase textbooks from the online retailers than from local bookstores? use α = 0.10. let prices at local bookstores represent population 1 and prices at online retailers represent population 2.
textbook prices (dollars)
| textbook | bookstore | online retailer | textbook | bookstore | online retailer |
|---|---|---|---|---|---|
| 2 | 110 | 86 | 15 | 55 | 48 |
| 3 | 150 | 152 | 16 | 93 | 88 |
| 4 | 117 | 119 | 17 | 59 | 51 |
| 5 | 121 | 107 | 18 | 143 | 130 |
| 6 | 98 | 94 | 19 | 53 | 58 |
| 7 | 118 | 116 | 20 | 129 | 109 |
| 8 | 102 | 94 | 21 | 114 | 107 |
| 9 | 133 | 146 | 22 | 117 | 115 |
| 10 | 109 | 95 | 23 | 130 | 120 |
| 11 | 54 | 57 | 24 | 128 | 139 |
| 12 | 94 | 106 | 25 | 74 | 49 |
| 13 | 142 | 148 |
step 1 of 3: state the null and alternative hypotheses for the test. fill in the blank below.
Step1: Define null and alternative hypotheses
The null hypothesis $H_0$ is that there is no difference or that local bookstore prices are less than or equal to online retailer prices. The alternative hypothesis $H_1$ is that local bookstore prices are greater than online retailer prices.
$H_0:\mu_1\leq\mu_2$
$H_1:\mu_1 > \mu_2$
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$H_0:\mu_1\leq\mu_2$, $H_1:\mu_1 > \mu_2$