You may need to use the appropriate technology to answer this question. In a completely randomized design, 13 experimental units were used for the first treatment, 16 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,500 Error Total 2,100 At a 0.05 level of significance, is there a significant difference between the treatments? State the null and alternative hypotheses. H0: ?1 = ?2 = ?3 Ha: ?1 ≠ ?2 ≠ ?3H0: ?1 ≠ ?2 ≠ ?3 Ha: ?1 = ?2 = ?3 H0: At least two of the population means are equal. Ha: At least two of the population means are different.H0: ?1 = ?2 = ?3 Ha: Not all the population means are equal.H0: Not all the population means are equal. Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the means for the three treatments are not equal.Do not reject H0. There is not sufficient evidence to conclude that the means for the three treatments are not equal. Do not reject H0. There is sufficient evidence to conclude that the means for the three treatments are not equal.Reject H0. There is not sufficient evidence to conclude that the means for the three treatments are not equal.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a completely randomized design, 13 experimental units were used for the first treatment, 16 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments	1,500
Error
Total	2,100

At a 0.05 level of significance, is there a significant difference between the treatments?

State the null and alternative hypotheses.

H₀: ?₁ = ?₂ = ?₃
H_a: ?₁ ≠ ?₂ ≠ ?₃H₀: ?₁ ≠ ?₂ ≠ ?₃
H_a: ?₁ = ?₂ = ?₃ H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: ?₁ = ?₂ = ?₃
H_a: Not all the population means are equal.H₀: Not all the population means are equal.
H_a: ?₁ = ?₂ = ?₃

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the means for the three treatments are not equal.Do not reject H₀. There is not sufficient evidence to conclude that the means for the three treatments are not equal. Do not reject H₀. There is sufficient evidence to conclude that the means for the three treatments are not equal.Reject H₀. There is not sufficient evidence to conclude that the means for the three treatments are not equal.

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