Tomato weights and Fertilizer (Raw Data, Software Required) Carl the farmer has three fields of tomatoes, on one he used no fertilizer, in another he used organic fertilizer, and the third he used a chemical fertilizer He wants to see if there is a difference in the mean weights of tomatoes from the different fields The sample data for tomato weights in grams is given below Carl claims there is a difference in the mean weight for all tomatoes between the different fertilizing methods No FertilizerOrganic FertilizerChemical Fertilizer123112115119127141118138143120133134117140129120114134114126135118134129129123113127143148 The Test Complete the steps in testing the claim that there is a difference in the mean weight for all tomatoes between the different fertilizing methods (a) What is the null hypothesis for this test H 0 At least one of the population means is different from the others H 0 1 2 3 H 0 3 2 1 H 0 1 2 3 (b) What is the alternate hypothesis for this test H 1 3 2 1 H 1 At least one of the population means is different from the others H 1 1 2 3 H 1 1 2 3 (c) Use software to get the P value of the test statistic ( F ) Round to 4 decimal places unless your software automatically rounds to 3 decimal places P value (d) What is the conclusion regarding the null hypothesis at the0 01significance level reject H 0 fail to reject H 0 (e) Choose the appropriate concluding statement We have proven that all of the mean weights are the same There is sufficient evidence to conclude that the mean weights are different There is not enough evidence to conclude that the mean weights are different (f) Does your conclusion change at the0 05significance level Yes No f

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Question: Tomato weights and Fertilizer (Raw Data, Software Required): Carl the farmer has three fields of tomatoes, on one he used no fertilizer, in another he

Tomato weights and Fertilizer (Raw Data, Software Required):

Carl the farmer has three fields of tomatoes, on one he used no fertilizer, in another he used organic fertilizer, and the third he used a chemical fertilizer. He wants to see if there is a difference in the mean weights of tomatoes from the different fields. The sample data for tomato-weights in grams is given below. Carl claims there is a difference in the mean weight for all tomatoes between the different fertilizing methods.

No FertilizerOrganic FertilizerChemical Fertilizer123112115119127141118138143120133134117140129120114134114126135118134129129123113127143148

The Test:Complete the steps in testing the claim that there is a difference in the mean weight for all tomatoes between the different fertilizing methods.

(a) What is the null hypothesis for this test?

H₀:At least one of the population means is different from the others.

H₀:?₁=?₂=?₃.

H₀:?₃>?₂>?₁.

H₀:?₁??₂??₃.

(b) What is the alternate hypothesis for this test?

H₁:?₃>?₂>?₁.

H₁:At least one of the population means is different from the others.

H₁:?₁??₂??₃.

H₁:?₁=?₂=?₃.

(c) Use software to get the P-value of the test statistic (F).Round to 4 decimal places unless your software automatically rounds to 3 decimal places.

P-value =

(d) What is the conclusion regarding the null hypothesis at the0.01significance level?

rejectH₀

fail to rejectH₀

(e) Choose the appropriate concluding statement.

We have proven that all of the mean weights are the same.

There is sufficient evidence to conclude that the mean weights are different.

There is not enough evidence to conclude that the mean weights are different.

(f) Does your conclusion change at the0.05significance level?

Yes

Tomato weights and Fertilizer (Raw Data, Software Required):Carl the farmer has three

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