t Test for TWO DEPENDENT (Related) SAMPLES (Show all Work) A farmer decides to try out a new fertilizer on a test plot containing 10 stalks of corn. Before applying the fertilizer, he measures the height of each stalk. Two weeks later, he measures the stalks again, being careful to match each stalk's new height to its previous one. The stalks would have grown an average of 6 inches during that time even without the fertilizer. Did the fertilizer help? Test the Null Hypothesis with t, using the .01 level of significance and construct a 99 percent confidence interval (whether you reject OR retain the Null Hypothesis) null hypothesis: H 0: μ < 6 alternative hypothesis: H1 : μ > 6 Stalk Before After 1 35.5 45.3 2 31.7 36.0 3 31.2 38.6 4 36.3 44.7 5 22.8 31.4 6 28.0 33.5 7 24.6 28.8 8 26.1 35.8 9 34.5 42.9 10 27.7 35.0
- t Test for TWO DEPENDENT (Related) SAMPLES (Show all Work)
A farmer decides to try out a new fertilizer on a test plot containing 10 stalks of corn. Before applying the fertilizer, he measures the height of each stalk. Two weeks later, he measures the stalks again, being careful to match each stalk's new height to its previous one. The stalks would have grown an average of 6 inches during that time even without the fertilizer. Did the fertilizer help? Test the Null Hypothesis with t, using the .01 level of significance and construct a 99 percent confidence interval (whether you reject OR retain the Null Hypothesis)
null hypothesis: H 0: μ < 6 alternative hypothesis: H1 : μ > 6
Stalk |
Before |
After |
1 |
35.5 |
45.3 |
2 |
31.7 |
36.0 |
3 |
31.2 |
38.6 |
4 |
36.3 |
44.7 |
5 |
22.8 |
31.4 |
6 |
28.0 |
33.5 |
7 |
24.6 |
28.8 |
8 |
26.1 |
35.8 |
9 |
34.5 |
42.9 |
10 |
27.7 |
35.0 |
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