tudy 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 33 30 23 31 27 34 29 23 Source Variation reatments Error Total 24 37 38 28 struct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Mean Square 27 30 36 Sum Degrees of Squares of Freedom F Ho: Not all the population means are equal. Ha: Hoc #60°C #70°C Ho: Msoc H60°C #70°C p-value a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. be the null and alternative hypotheses. Ho: #₂0°C #60°C #70°C H₂H50°C 60°C~70°C

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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.
50°C 60°C 70°C
Treatments
Error
33
Total
24
37
Temperature
38
28
30
#
31
=
34
23
27
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.)
#
23
Source
Sum
Degrees
of Variation of Squares of Freedom
27
29
30
36
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.
Ho: M50°C
60°C # μ70°C
Ha: 50°C 60°C = μ70°C
O Ho: Not all the population means are equal.
Ha: H50°C
60°C = μ70°C
Ho: M50°C
60°C = μ70°C
Ha: M50°C 60°C * μ70°C
Mean
Square
OH: At least two of the population means are equal.
H: At least two of the population means are different.
Ho: M50°C 60°C = μ70°C
H₂: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
p-value
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.
O Reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Transcribed Image Text: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. 50°C 60°C 70°C Treatments Error 33 Total 24 37 Temperature 38 28 30 # 31 = 34 23 27 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.) # 23 Source Sum Degrees of Variation of Squares of Freedom 27 29 30 36 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. Ho: M50°C 60°C # μ70°C Ha: 50°C 60°C = μ70°C O Ho: Not all the population means are equal. Ha: H50°C 60°C = μ70°C Ho: M50°C 60°C = μ70°C Ha: M50°C 60°C * μ70°C Mean Square OH: At least two of the population means are equal. H: At least two of the population means are different. Ho: M50°C 60°C = μ70°C H₂: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) p-value 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. O Reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
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