A biologist was interested in determining whether sunflower seedlings treated with an extract from Vinca minor roots resulted in a different average height of sunflower seedlings than the standard height of 15.7 cm at a 0.05 level of significance. The biologist treated a random sample of n = 33 seedlings with the extract and subsequently obtained the following heights:
11.5 |
11.8 |
15.7 |
16.1 |
14.1 |
10.5 |
15.2 |
17.0 |
12.8 |
12.4 |
17.5 |
13.5 |
16.5 |
13.5 |
14.4 |
16.7 |
10.9 |
13.0 |
15.1 |
17.1 |
13.3 |
12.4 |
9.1 |
14.3 |
12.9 |
11.1 |
15.0 |
13.3 |
15.8 |
13.5 |
9.3 |
12.2 |
10.3 |
a) What is the rejection rule for the hypothesis?
b) What is the test statistic value?
c) What is the p-value?
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