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 50°C 60°C 70°C 34 30 22 25 32 29 36 35 27 39 24 30 26 29 32 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 Sum Degrees of Freedom Мean of Variation of Squares Square 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. O Ho: H50°c * H60°C * H70°C H: H50°c = H60°c = H70°C %3D O Ho: H50°c = H60°c = H70°C H: Not all the population means are equal. %3D O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H50°c = H60°c = H70°C Ha: H50°c * H60°C * H70°C O Ho: Not all the population means are equal. Ha: H50°c = H60°C = H70°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. O Do not reject Ha. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. O Reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equa O Reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
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 50°C 60°C 70°C 34 30 22 25 32 29 36 35 27 39 24 30 26 29 32 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 Sum Degrees of Freedom Мean of Variation of Squares Square 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. O Ho: H50°c * H60°C * H70°C H: H50°c = H60°c = H70°C %3D O Ho: H50°c = H60°c = H70°C H: Not all the population means are equal. %3D O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H50°c = H60°c = H70°C Ha: H50°c * H60°C * H70°C O Ho: Not all the population means are equal. Ha: H50°c = H60°C = H70°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. O Do not reject Ha. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. O Reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equa O Reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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
50°C
60°C
70°C
34
30
22
25
32
29
36
35
27
39
24
30
26
29
32
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
Sum
Degrees
of Freedom
Мean
of Variation
of Squares
Square
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.
O Ho: H50°c * H60°C # H70°C
H: H50°c = H60°c = H70°C
O Ho: H50°c = H60°C = H70°C
H: Not all the population means are equal.
O Ho: At least two of the population means are equal.
H: At least two of the population means are different.
O Ho: H50°c = H60°C = H70°C
Ha: H50°c * H60°C * H70°C
O Ho: Not all the population means are equal.
H3: H50°c = H60°C = H70°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.
O Do not reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
O Reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
O Do not reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Expert Solution
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For the given data
Complete the Anova table and carry out the hypotheses test at alpha =0.05 L.O.S
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