o study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow. Temperature 50°C 60°C 70°C 34 31 24 23 32 28 37 34 27 38 23 30 28 25 36 Construct an analysis of variance table. (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 Error Total Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. State the null and alternative hypotheses. H0: ?50°C = ?60°C = ?70°C Ha: Not all the population means are equal.H0: Not all the population means are equal. Ha: ?50°C = ?60°C = ?70°C H0: ?50°C ≠ ?60°C ≠ ?70°C Ha: ?50°C = ?60°C = ?70°CH0: At least two of the population means are equal. Ha: At least two of the population means are different.H0: ?50°C = ?60°C = ?70°C Ha: ?50°C ≠ ?60°C ≠ ?70°C 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. Do not reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Do not reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures 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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Question

To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.

Temperature
50°C	60°C	70°C
34	31	24
23	32	28
37	34	27
38	23	30
28	25	36

Construct an analysis of variance table. (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
Error
Total

Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

State the null and alternative hypotheses.

H₀: ?_50°C = ?_60°C = ?_70°C
H_a: Not all the population means are equal.H₀: Not all the population means are equal.
H_a: ?_50°C = ?_60°C = ?_70°C H₀: ?_50°C ≠ ?_60°C ≠ ?_70°C
H_a: ?_50°C = ?_60°C = ?_70°CH₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: ?_50°C = ?_60°C = ?_70°C
H_a: ?_50°C ≠ ?_60°C ≠ ?_70°C

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.

Do not reject H₀. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Do not reject H₀. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject H₀. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Reject H₀. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.

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