Question

# A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To...

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
85 72 58
75 74 65
81 74 63
77 73 68
72 68 75
84 89 61
Sample
mean
79 75 65
Sample
variance
26.8 52.0 35.6
Sample
standard
deviation
5.18 7.21 5.97

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
of Squares
Degrees
of Freedom
Mean
Square
F p-value
Treatments
Error
Total

Test for any significant difference in the mean examination score for the three plants. Use

α = 0.05.

State the null and alternative hypotheses.

H0: μ1μ2μ3
Ha: μ1 = μ2 = μ3H0: μ1 = μ2 = μ3
Ha: μ1μ2μ3    H0: Not all the population means are equal.
Ha: μ1 = μ2 = μ3H0: At least two of the population means are equal.
Ha: At least two of the population means are different.H0: μ1 = μ2 = μ3
Ha: Not all the population means are equal.

Find the value of the test statistic. (Round your answer to two decimal places.)

p-value =

Reject H0. There is sufficient evidence to conclude that the means for the three plants are not equal.Reject H0. There is not sufficient evidence to conclude that the means for the three plants are not equal.    Do not reject H0. There is not sufficient evidence to conclude that the means for the three plants are not equal.Do not reject H0. There is sufficient evidence to conclude that the means for the three plants are not equal.

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