Source of Variation Sum Degrees of Freedom Mean p-value of Squares Square 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. O Ho: H, # H2 # Hz Hgi Hq = H2 = Hz O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 Ha: Hy # Hz # H3 O H: Not all the population means are equal. Hgi Hy = Hz = Hz Hoi Hy = Hz = Hz H3: 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 = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the means for the three plants are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means for the three plants are not equal. O Reject Ho. There is not sufficient evidence to conclude that the means for the three plants are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means for the three plants 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
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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
Atlanta
Plant 2
Dallas
Plant 3
Seattle
86
70
58
74
74
64
81
72
62
75
74
68
72
69
76
92
91
74
Sample
80
75
67
mean
Sample
variance
61.2
65.6
49.2
Sample
standard
deviation
7.82
8.10
7.01
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.)
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 Atlanta Plant 2 Dallas Plant 3 Seattle 86 70 58 74 74 64 81 72 62 75 74 68 72 69 76 92 91 74 Sample 80 75 67 mean Sample variance 61.2 65.6 49.2 Sample standard deviation 7.82 8.10 7.01 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
of Variation
Sum
Degrees
of Freedom
Mean
p-value
of Squares
Square
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.
O Ho: H, # H2 # Hz
H3: H1 = H2 = Hz
O H,: At least two of the population means are equal.
H: At least two of the population means are different.
O Ho: H1 = H2 = H3
O H: Not all the population means are equal.
H3: H1 = H2 = Hz
O Ho: H1 = H2 = H3
H: 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 =
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that the means for the three plants are not equal.
O Do not reject Ho. There is sufficient evidence to conclude that the means for the three plants are not equal.
O Reject Ho. There is not sufficient evidence to conclude that the means for the three plants are not equal.
O Do not reject Ho. There is not sufficient evidence to conclude that the means for the three plants are not equal.
Transcribed Image Text:Source of Variation Sum Degrees of Freedom Mean p-value of Squares Square 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. O Ho: H, # H2 # Hz H3: H1 = H2 = Hz O H,: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 O H: Not all the population means are equal. H3: H1 = H2 = Hz O Ho: H1 = H2 = H3 H: 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 = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the means for the three plants are not equal. O Do not reject Ho. There is sufficient evidence to conclude that the means for the three plants are not equal. O Reject Ho. There is not sufficient evidence to conclude that the means for the three plants are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means for the three plants are not equal.
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