Question: You may need to use the appropriate technology to answer this question.To study the effect of temperature on yield in a chemical process, five batches

You may need to use the appropriate technology to answer this 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
50C 60C 70C
33 31 24
25 32 27
35 34 28
40 24 30
32 19 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

a).H0: 50C = 60C = 70C Ha: Not all the population means are equal.

b)H0: 50C = 60C = 70C Ha: 50C 60C 70C

c)H0: At least two of the population means are equal. Ha: At least two of the population means are different.

d)H0: 50C 60C 70C Ha: 50C = 60C = 70C

e)H0: Not all the population means are equal. Ha: 50C = 60C = 70C

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.

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

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

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

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