Mathematics Homework Help

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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	31	22
24	30	27
37	35	27
38	22	30
31	22	39

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°H₀: _50°C = _60°C = _70°CH_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 differH₀: Not all the population means are equal.
H_a: _50°C = _60°C = 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.

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