Question
A farm manager wants to test a manufacturers claim that cheaper fertilizer A is at least as effective as more expensive fertilizer B. Twenty identical
A farm manager wants to test a manufacturer’s claim that cheaper fertilizer A is at least as effective as more expensive fertilizer B. Twenty identical plots of strawberries are randomly selected. Half are fertilized with A and half with B. The yields are to be recorded and a statistical test at the 5 percent significance level is to be made. The eventual results of the experiment are as follows:
Fertilizer A | Fertilizer B | ||
Plot Number | Strawberry Output (quarts) | Plot Number | Strawberry Output (quarts) |
3 | 91 | 1 | 79 |
4 | 97 | 2 | 90 |
7 | 85 | 5 | 80 |
9 | 88 | 6 | 95 |
11 | 86 | 8 | 83 |
12 | 93 | 10 | 93 |
13 | 80 | 14 | 85 |
15 | 81 | 16 | 80 |
18 | 81 | 17 | 82 |
20 | 90 | 19 | 84 |
Rubrics 1. Correct null and alternative hypothesis - 10 points 2. Decision on one-tailed or two-tailed test-5 points 3. Correct test and correct formula to conduct the test - 20 points 4. Correct computations of appropriate statistics - 10 points 5. Correct test statistic -25 points 6. Correct critical value - 5 points
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