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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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