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You may need to use the appropriate technology to answer this question. A company manufactures printers and fax machines at plants located in Atlanta, Dallas,

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You may need to use the appropriate technology to answer this question. 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 74 76 64 83 73 62 75 75 70 70 69 74 81 87 67 Sample 78 75 66 mean Sample 42.0 variance 34.4 30.0 Sample standard 5.87 6.48 5.48 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 p-value of Variation of Squares of Freedom 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: M1 = H2 = 13 O Ho: Not all the population means are equal. Hail1 = H2 = 13 Ha: M1 = H2 = M3 O Ho: At least two of the population means are equal. HE: At least two of the population means are different. O Ho: M1 = H2 = H3 Ha: 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 not sufficient evidence to conclude that the means for the three plants are not equal. 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 sufficient evidence to conclude that the means for the three plants are not equal

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