Set up the ANOVA table for these data. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Degrees of Freedom Mean Square of Variation p-value of Squares Treatments Error Total Test for any significant difference in the mean examination score for the three plants. Use a = 0.05. State the null and alternative hypotheses. H: Not all the population means are equal. OH: At least two of the population means are equal. H₂: At least two of the population means are different. H₂: H₂=H₂H₂ ⒸH₂ H₂H₂H₂ H.: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.)

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A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about quality
management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination. The examination
scores for these 18 employees are shown in the following table. The sample means, sample variances, and sample standard deviations for each group are also provided.
Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants.
Plant 1
Plant 2
Plant 3
Atlanta
Dallas
Seattle
85
70
59
76
76
65
83
74
62
75
73
69
72
68
75
83
83
66
Sample
79
74
66
mean
Sample
28.4
27.6
31.2
variance
Sample
standard 5.33
5.25
5.59
deviation
Set up the ANOVA table for these data. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
Source
Sum
Degrees
Mean
Square
F
p-value
of Variation
of Squares of Freedom
Treatments
Error
Total
Test for any significant difference in the mean examination score for the three plants. Use a = 0.05.
State the null and alternative hypotheses.
ⒸH: Not all the population means are equal.
H₂H₂ = H₂=H3
ⒸH: At least two of the population means are equal.
H₂: At least two of the population means are different.
ⒸH₁ H₂ = H₂ = H₂
H₂H₁ H₂ H3
ⒸH₂H₂=H₂H3
H₂: Not all the population means are equal.
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=
Transcribed Image Text:A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination. The examination scores for these 18 employees are shown in the following table. The sample means, sample variances, and sample standard deviations for each group are also provided. Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants. Plant 1 Plant 2 Plant 3 Atlanta Dallas Seattle 85 70 59 76 76 65 83 74 62 75 73 69 72 68 75 83 83 66 Sample 79 74 66 mean Sample 28.4 27.6 31.2 variance Sample standard 5.33 5.25 5.59 deviation Set up the ANOVA table for these data. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Degrees Mean Square F p-value of Variation of Squares of Freedom Treatments Error Total Test for any significant difference in the mean examination score for the three plants. Use a = 0.05. State the null and alternative hypotheses. ⒸH: Not all the population means are equal. H₂H₂ = H₂=H3 ⒸH: At least two of the population means are equal. H₂: At least two of the population means are different. ⒸH₁ H₂ = H₂ = H₂ H₂H₁ H₂ H3 ⒸH₂H₂=H₂H3 H₂: Not all the population means are equal. 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=
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