Find the value of the test statistic. (Round your answer to two decimal places.) x Find the psvalue. {Round your answer to four decimal places.) p-value = 0.0019 x State your conclusion. O Reject HD' There is not sufcient evidence to conclude that the means for the three plants are not equal. 0 Do not reject H0. There is sufficient evidence to conclude that the means for the three plants are not equal. Reject H0. There is sufficient evidence to conclude that the means for the three plants are not equal. 0 Do not reject H0. There is not sufficient evidence to conclude that the means for the three plants are not equal. s' 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 71 58 74 75 64 83 74 61 76 74 71 70 76 91 86 74 Sample 80 75 67 mean Sample 57.6 32.8 52.0 variance Sample standard 7.59 5,73 7.21 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 F of Variation of Squares of Freedom Square p-value Treatments 624 2 312 X 9.7908 X 0.0019 X Error 478 X 15 31.8667 X Total 1102 X 17 Test for any significant difference in the mean examination score for the three plants. Use a = 0.05. State the null and alternative hypotheses. OH: H1 = 12 = H3 Ha: Not all the population means are equal. O Ho: Not all the population means are equal. Ha: M1 = H2 = 13 O HO: M1 = H2 = 13 OH: H 1 * H2 * H3 Ha: M 1 = H2 = H3 O Ho: At least two of the population means are equal. Ha: At least two of the population means are different