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. (You may find it useful to reference the ttable.) Click here for the Excel Data File . Estimate the regression model: Height - 6g + 61Fertilizer + e. (Round your answers to 2 decimal places.) Height = Fertilizer b-1. At the 1% significance level, determine if an ounce of fertilizer increases height by more than 3 inches. First, specify the competing hypotheses. O Hạ: 81 - 3; HA: 81 + 3 %3D O Hạ: 81 s 3; Hạ: 81 > 3 O Hạ: 61 2 3; HA: 81 < 3

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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 of fertilizer (in ounces) over a four-month period, and then their heights (in inches) were
measured. (You may find it useful to reference the t table.)
Click here for the Excel Data File
a. Estimate the regression model: Height = 69 + 61Fertilizer + E. (Round your answers to 2 decimal places.)
Height =
Fertilizer
b-1. At the 1% significance level, determine if an ounce of fertilizer increases height by more than 3 inches. First, specify the competing
hypotheses.
Hg: 61 = 3; HẠ: 61 + 3
%3D
O He: 61 s 3; HA: 81 > 3
Hg: 61 2 3; HA: 81 < 3
b-2. Calculate the value of the test statistic. (Do not round intermediate calculations. Round final answer to 3 decimal places.)
Test statistic
b-3. Find the p-value.
0.025 s p-value < 0.05
O 0.01 s p-value < 0.025
O pvalue < 0.01
p-value 2 0.10
O 0.05 s p-value < 0.10
b-4. At the 1% level of significance, what is the conclusion to the test?
|Но, we
conclude an ounce of fertilizer increases height by more than three inches.
Transcribed Image Text: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. (You may find it useful to reference the t table.) Click here for the Excel Data File a. Estimate the regression model: Height = 69 + 61Fertilizer + E. (Round your answers to 2 decimal places.) Height = Fertilizer b-1. At the 1% significance level, determine if an ounce of fertilizer increases height by more than 3 inches. First, specify the competing hypotheses. Hg: 61 = 3; HẠ: 61 + 3 %3D O He: 61 s 3; HA: 81 > 3 Hg: 61 2 3; HA: 81 < 3 b-2. Calculate the value of the test statistic. (Do not round intermediate calculations. Round final answer to 3 decimal places.) Test statistic b-3. Find the p-value. 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 O pvalue < 0.01 p-value 2 0.10 O 0.05 s p-value < 0.10 b-4. At the 1% level of significance, what is the conclusion to the test? |Но, we conclude an ounce of fertilizer increases height by more than three inches.
Fertilizer
Height
1.9
20.2
4.0
49.1
4.1
56.8
1.2
24.3
4.9
29.4
5.2
60.7
3.3
24.8
0.0
25.4
2.6
26
2.6
25.6
0.8
26.1
1.0
28.4
4.3
62.8
3.3
30.4
5.3
43
2.3
33.5
4.0
35.4
1.6
22.5
3.4
40.3
3.0
44.8
3.9
29.4
0.7
21.3
1.8
25.6
2.4
29.6
4.3
27.8
3.5
32.1
4.0
33.6
0.0
22.2
2.4
27.6
3.3
46.4
Transcribed Image Text:Fertilizer Height 1.9 20.2 4.0 49.1 4.1 56.8 1.2 24.3 4.9 29.4 5.2 60.7 3.3 24.8 0.0 25.4 2.6 26 2.6 25.6 0.8 26.1 1.0 28.4 4.3 62.8 3.3 30.4 5.3 43 2.3 33.5 4.0 35.4 1.6 22.5 3.4 40.3 3.0 44.8 3.9 29.4 0.7 21.3 1.8 25.6 2.4 29.6 4.3 27.8 3.5 32.1 4.0 33.6 0.0 22.2 2.4 27.6 3.3 46.4
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