Question
A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants grown in similar conditions were subjected to various amounts
A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants grown in similar conditions were subjected to various amounts of fertilizer (in ounces) over a four-month period, and then their heights (in inches) were measured.
1. Estimate the regression model:Height = 0 + 1Fertilizer + .
2. At the 1% significance level, determine if an ounce of fertilizer increases height by more than 3 inches. First, specify the competing hypotheses.
A. H0: 1 = 3; HA: 1 3
B. H0: 1 3; HA: 1 > 3
C. H0: 1 3; HA: 1 < 3
3. Calculate the value of the test statistic.
4.Find the p-value.
- 0.05p-value < 0.10
- p-value < 0.01
- p-value0.10
Height | Fertilizer |
20.8 | 1.9 |
49.3 | 3 |
56.6 | 4.2 |
24.7 | 1.4 |
29.6 | 4.8 |
60.1 | 5.3 |
24.8 | 3.5 |
25.3 | 0 |
26.7 | 2.4 |
25.6 | 2.6 |
26 | 0.7 |
28.7 | 1 |
62.9 | 4.6 |
30.8 | 3.4 |
43.5 | 5.5 |
33.1 | 2.3 |
35.1 | 4 |
22.2 | 1.3 |
40.4 | 3.6 |
44.5 | 3 |
29.7 | 3.1 |
21.5 | 0.6 |
25.7 | 1.3 |
29.7 | 2.3 |
27.5 | 4.4 |
32.6 | 3.1 |
33.2 | 5 |
22.3 | 0 |
27.3 | 2.6 |
46.1 | 3.5 |
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