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

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A Company Manufactures Printers And Fax Machines At Plants Located In Atlanta Dallas And Seattle To Measure How Much 1 (39.08 KiB) Viewed 19 times

A Company Manufactures Printers And Fax Machines At Plants Located In Atlanta Dallas And Seattle To Measure How Much 2 (42.07 KiB) Viewed 19 times

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 84 71 58 76 74 64 82 72 63 75 74 68 71 70 75 86 83 68 Sample mean 79 74 66 Sample variance 34.4 22.0 33.2 Sample standard deviation : 5.87 4.69 5.76
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 Degrees of Squares 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 a = 0.05. State the null and alternative hypotheses. Оно и на из H: Not all the population means are equal. Ho! Mg H2 H3 O Hot My H2 H3 Hos Not all the population means are equal, Mo #2) o Wo: At least two of the population means are equal Hoi At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) SH 8.0 MG_7 Find the p-value. (Round your answer to four decimal places) Shc 8.4 p-value- State your conclusion Reject Ho There is not sufficient evidence to conclude that the means for the three plants are not equal Reject Ho There is sufficient evidence to conclude that the means for the three plants are not equal Do not reject Ho There is not sufficient evidence to conclude that the means for the three plants are not equal Do not relect H There is sufficient evidence to one that the means for the thientantsarnan Sho 2.201