Question
I. State null and alternative hypotheses. II. Decide on the significance level, α. III. Compute the...
I. State null and alternative hypotheses.
II. Decide on the significance level, α.
III. Compute the value of the test statistic.
IV. Determine a p-value, P.
V. If P ≤ α reject H0, otherwise do not reject H0.
VI. Interpret the result of the hypothesis test.
6. A biologist was interested in determining whether specific seedlings treated with a new fertilizer resulted in a higher than average height than the standard height of 11.2 cm. The biologist treated a random sample of 24 seedlings with the fertilizer and subsequently obtained the following heights. Conduct an appropriate hypothesis test using a 5% significance level. Be sure to show all of your work including the calculation of the sample mean and sample standard deviation.
|
11.5 |
11.8 |
15.7 |
12.1 |
10.1 |
10.5 |
|
16.5 |
13.5 |
14.4 |
16.7 |
10.9 |
10.0 |
|
11.1 |
17.1 |
13.3 |
12.4 |
8.5 |
14.3 |
|
12.9 |
11.1 |
15.0 |
13.3 |
9.9 |
13.5 |
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