To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material.Manufacturer123202920272520253223242617(a)Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use ? = 0.05.State the null and alternative hypotheses.-H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0:-At least two of the population means are equal.Ha: At least two of the population means are different.-H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3H0:-Not all the population means are equal.Ha: ?1 = ?2 = ?1-H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3Find the value of the test statistic. (Round your answer to two decimal places.)Stastic=??Find the p-value. (Round your answer to three decimal places.)p-value = ??State your conclusion.Do not reject H0. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer.Reject H0. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. Reject H0. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer.Do not reject H0. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (b)At the ? = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3.Find the value of LSD. (Round your answer to two decimal places.)LSD = ??Find the pairwise absolute difference between sample means for manufacturers 1 and 3. x1 − x3=?? What conclusion can you draw after carrying out this test?There is a significant difference between the means for manufacturer 1 and manufacturer 3.There is not a significant difference between the means for manufacturer 1 and manufacturer 3.

From given data we have : Manufacturer 1 2 3 20 29 20 27 25 20 25 32 23 24 26 17

Answered: o test whether the mean time needed to…

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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To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material.

Manufacturer
1	2	3
20	29	20
27	25	20
25	32	23
24	26	17

(a)

Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use

? = 0.05.

State the null and alternative hypotheses.

-H₀: ?₁ = ?₂ = ?₃
H_a: Not all the population means are equal.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: ?₁ = ?₂ = ?₃H₀:

-Not all the population means are equal.

H_a: ?₁ = ?₂ = ?1

-H₀: ?₁ = ?₂ = ?₃
H_a: ?₁ ≠ ?₂ ≠ ?₃

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

Stastic=??

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

p-value = ??

State your conclusion.

Do not reject H₀. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer.Reject H₀. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. Reject H₀. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer.Do not reject H₀. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer.

(b)

At the ? = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3.

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

LSD = ??

Find the pairwise absolute difference between sample means for manufacturers 1 and 3.

x₁ − x_3=??

What conclusion can you draw after carrying out this test?

There is a significant difference between the means for manufacturer 1 and manufacturer 3.There is not a significant difference between the means for manufacturer 1 and manufacturer 3.

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