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A horticulturist is studying the relationship between tomato

by | Dec 1, 2023 | Posted Questions

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 over a four-month period, and then their heights were measured. Use Table 2.

PictureClick here for the Excel Data File:

Fertilizer (ounces) Height (inches)

1.8 20.8

6.0 49.6

4.3 56.7

1.5 24.6

4.3 29.2

5.1 60.7

3.5 24.7

0.0 25.6

2.2 26.4

2.5 25.9

0.9 26.1

1.0 28.1

4.5 62.1

3.5 30.9

5.5 43.2

2.3 33.6

5.0 35.1

1.3 22.2

3.4 40.8

4.0 44.3

3.1 29.3

0.8 21.3

1.7 25.7

2.4 29.5

4.4 27.8

3.6 32.1

5.0 33.3

2.0 22.6

2.5 27.8

3.5 46.4

a.

Estimate the regression model: Height = ?0 + ?1 Fertilizer + ?. (Round your answers to 3 decimal places.)

111formula109.mml = ________ + _________Fertilizer.

b-1.

At the 1% significance level, determine if a unit of fertilizer increases height by more than 3 units. First, specify the competing hypotheses.

H0: ?1 = 3; HA: ?1 ? 3

H0: ?1 ? 3; HA: ?1 > 3

H0: ?1 ? 3; HA: ?1 < 3

b-2.

Calculate the value of the test statistic. (Round intermediate calculations and final answer to 4 decimal places.)

Test statistic

b-3.

Find the p-value.

0.05 Picture p-value < 0.10

0.01 Picture p-value < 0.05

p-value Picture 0.10

p-value < 0.01

b-4.

At the 1% level of significance, what is the conclusion to the test?

(reject, or do not reject) H0, we (can, or can not) conclude an ounce of fertilizer increases height by more than three inches.

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