Answered: To study the effect of temperature on…

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
35	29	24
25	31	27
36	33	29
38	22	31
26	30	34

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: ?_50°C ≠ ?_60°C ≠ ?_70°CH₀: ?_50°C = ?_60°C = ?_70°C
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: ?_50°C ≠ ?_60°C ≠ ?_70°C
H_a: ?_50°C = ?_60°C = ?_70°CH₀: Not all the population means are equal.
H_a: ?_50°C = ?_60°C = ?_70°C

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

Test Statistic??

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

p-value = ??

State your conclusion.

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

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