Please help me solve questions 4 and 5. Thank you so much.

4.

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 86 58 75 76 63 83 73 62 77 73 70 72 68 74 75 83 75 Sample 78 74 67 mean Sample variance 28.8 26.4 48.8 Sample standard 5.37 5.14 6.99 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. O Hot At least two of the population means are equal. He: At least two of the population means are different. O Ho: My = 12 = H3 O Ho: Not all the population means are equal. Ha : M1 = M2 = M3 O Ho: H1 = H2 = H3 Ha: Not all the population means are equal. Hall, = M2 = u3 Find the value of the test statistic. (Round your answer to two decimal places.)\fThe following data are from a completelyr randomized design. Treatment Treatment Treatment A B C 3 1 4 5 3 2 29 44 33" 29 43 35 26 46 3? 30 42 34 sample mean 29 44 35 Salt-1k! variance 3.50 2.50 4.50 (a) At the r1 = 0.05 level of signicance, can we reject the null hypothesis that the means of the three treatments are equal? State the null and alternative hypotheses. OHDHLAtprBtpC Ha: \"A = l"I3 = 1"c OHD:F'A=P'B=P'C Ha: FA : \"s t \"c 0 Ho: At least two of the population means are equal. Ha: At: least two of the population means are different. 0 Ho: Not all the population means are equal. Ha: \"A = 1'\"'B = 1'\"'c OHD:P'A=FB=P'C Ha: Not: all the population means are equal. Find the value ofthe test statistic. (Round your answer to two decimal places) Find the pvalu e. {Round your answer to three decimal places.) p-value = State yo ur conclusion. 0 Reject Ha. There is sufcient evidence to conclude that the means of the three treatments are not equal. 0 Do not reject H0. "here is sufcient evidence to conclude that: the means of the three treatments are not equal. 0 Reject \"0' There is not: sufficient evidence to conclude that the means of the three treatments are not equal. 0 Do not reject H0. "here is not sufcient evidence to conclude that the means of the three treatments are not equal.