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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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