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. 75 76 64 83 72 62 77 73 68 71 69 74 78 82 74 78 74 67 24.0 20.4 36.4 4.90 4.52 6.03 Set up the ANOVA table for these data. (Round your values for MSE and Fto two decimal places, and yourp-value to four decimal places.) Treatments 1.09 0.3663 Error Total Test for any signicant difference in the mean examination score for the three plants. Use a = 0.05. State the null and alternative hypotheses. State the null and alternative hypotheses. .H0:\"1=\"2='\"3 Ha: Not all the population means are equal. OHO:;1M2M3 Ha: \"1 = \"2 = '\"3 O HO: At least two of the population means are equal. Ha: At least two of the population means are different. O""':):I\"1=\"2='\"3 Ha: M1 at \"2 at #3 O Ho: Not all the population means are equal. Ha: \"1 = \"2 = \"3 Find the value of the test statistic. (Round your answer to two decimal places.) :1 Find the p-value. (Round your answer to four decimal places.) State your conclusion. 0 Reject H0. There is not 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. 0 Do not reject H0. There is sufcient evidence to conclude that the means for the three plants are not equal. 0 Reject H0. There is sufficient evidence to conclude that the means for the three plants are not equal