To study the effect of temperatufe 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 30 22 23 30 28 37 34 28 40 22 29 25 29 38 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.)

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ISBN:9781337282291
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Section5.5: Exponential And Logarithmic Models
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To study the effect of temperatufe 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
30
22
23
30
28
37
34
28
40
22
29
25
29
38
Construct an analysis of varianice table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
Source
Sum
of Squares
Degrees
of Freedom
Mean
F
p-value
of Variation
Square
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 hvpotheses.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. To study the effect of temperatufe 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 30 22 23 30 28 37 34 28 40 22 29 25 29 38 Construct an analysis of varianice table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum of Squares Degrees of Freedom Mean F p-value of Variation Square 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 hvpotheses.
Use a 0.05 level of significance to test whether the tempdrature level has an effect on the mean yield of the process.
State the null and alternative hypotheses.
O Ho: Hsorc H60°c" 70°C
H Not all the population means are equal.
O H: Not all the population means are equal.
O H: At least two of the population means are equal.
H, At least two of the population means are different.
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 Reject H,. 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 sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
O Do not reject H There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
O Reject H There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Transcribed Image Text:Use a 0.05 level of significance to test whether the tempdrature level has an effect on the mean yield of the process. State the null and alternative hypotheses. O Ho: Hsorc H60°c" 70°C H Not all the population means are equal. O H: Not all the population means are equal. O H: At least two of the population means are equal. H, At least two of the population means are different. 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 Reject H,. 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 sufficient evidence to conclude that the mean yields for the three temperatures are not equal. O Do not reject H There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. O Reject H There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
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ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning