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 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 3 Atlanta Dallas Seattle 85 70 58 75 67 81 74 76 73 68 70 69 87 83 77 Sample mean 79 74 66 Sample variance 42.0 24.8 40.4 Sample standard 6.48 4.98 6.36 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 of Variation of Squares of Freedom Square p-value 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. Ha: H 1 = H2 = M3 O Ho: Not all the population means are equal. Ha: ( 1 = H2 = H O Ho: H 1 = H2 = H3 Ha: M1 = H2 = M3 O H: At least two of the population means are equal. H: At least two of the populati means are different. Ho: P1 = #2 = #3 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. 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 de that the means for the three plants are not equal. Reject Ho. There is not sufficient evidence Jude that the means for the three plants are not equal. O Do not reject Ho. There is not sufficient evic e to conclude that the means for the three plants are not equal