*21. Given the following sample data, complete parts a and b. Click the icon to view...

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*21. Given the following sample data, complete parts a and b. Click the icon to view the sample data. a. Based on the computations for the within- and between-sample variation, develop the ANOVA table and test the appropriate null hypothesis using a = 0.01. Use the p-value approach. b. If warranted, use the Tukey-Kramer procedure to determine which populations have different means. Use = 0.01. a. Complete the ANOVA table. Source of Variation SS ANOVA df MS F P Between groups Within groups Total (Round to four decimal places as needed.) Identify the hypotheses for the test. Choose the correct answer below. OA. Ho: H1 H2 H3 H4 HA: At least two of the population means are equal OB. Ho: H1 H2 H3 H4 HA: All of the population means are equal OC. Ho H =H3-H4 HA: At least two of the population means are different OD. Ho H =H2 H3 H4 HA: All of the population means are different State the decision rule. If p-value (1) (Type an integer or a decimal.) Determine the p-value. p-value= (Round to four decimal places as needed.) Reach a decision. reject the null hypothesis. Otherwise, do not reject the null hypothesis. (2). the null hypothesis. There is (3). evidence that (4). of the population means are b. If warranted, use the Tukey-Kramer procedure to determine which populations have different means. Use a = 0.01. Significant Difference b. If warranted, use the Tukey-Kramer procedure to determine which populations have different means. Use a = 0.01. Significant Difference Group 1 vs. Group 2 Group 1 vs. Group 3 (7) Group 1 vs. Group 4 (8) Group 2 vs. Group 3 Group 2 vs. Group 4 (10) Group 3 vs. Group 4 (11) 1: Sample Data (1) O < (2) 1666 Item Group 1 Group 2 Group 3 Group 4 1 21.8 29.2 18.4 21.1 2 28.2 27.3 14.4 24.5 3 28.2 23.2 18.3 17.8 4 21.7 30.9 19.1 19.3 5 26.9 31.3 13.5 6 29.3 24.9 7 24.2 Reject sufficient (4) at least two Do not reject insufficient all No Yes Procedure not warranted (10) Yes Procedure not warranted No (11) different. equal. (6) Procedure not warranted Yes No (7) No Procedure not warranted Yes Yes Procedure not warranted No (8) Procedure not warranted No Yes *21. Given the following sample data, complete parts a and b. Click the icon to view the sample data. a. Based on the computations for the within- and between-sample variation, develop the ANOVA table and test the appropriate null hypothesis using a = 0.01. Use the p-value approach. b. If warranted, use the Tukey-Kramer procedure to determine which populations have different means. Use = 0.01. a. Complete the ANOVA table. Source of Variation SS ANOVA df MS F P Between groups Within groups Total (Round to four decimal places as needed.) Identify the hypotheses for the test. Choose the correct answer below. OA. Ho: H1 H2 H3 H4 HA: At least two of the population means are equal OB. Ho: H1 H2 H3 H4 HA: All of the population means are equal OC. Ho H =H3-H4 HA: At least two of the population means are different OD. Ho H =H2 H3 H4 HA: All of the population means are different State the decision rule. If p-value (1) (Type an integer or a decimal.) Determine the p-value. p-value= (Round to four decimal places as needed.) Reach a decision. reject the null hypothesis. Otherwise, do not reject the null hypothesis. (2). the null hypothesis. There is (3). evidence that (4). of the population means are b. If warranted, use the Tukey-Kramer procedure to determine which populations have different means. Use a = 0.01. Significant Difference b. If warranted, use the Tukey-Kramer procedure to determine which populations have different means. Use a = 0.01. Significant Difference Group 1 vs. Group 2 Group 1 vs. Group 3 (7) Group 1 vs. Group 4 (8) Group 2 vs. Group 3 Group 2 vs. Group 4 (10) Group 3 vs. Group 4 (11) 1: Sample Data (1) O < (2) 1666 Item Group 1 Group 2 Group 3 Group 4 1 21.8 29.2 18.4 21.1 2 28.2 27.3 14.4 24.5 3 28.2 23.2 18.3 17.8 4 21.7 30.9 19.1 19.3 5 26.9 31.3 13.5 6 29.3 24.9 7 24.2 Reject sufficient (4) at least two Do not reject insufficient all No Yes Procedure not warranted (10) Yes Procedure not warranted No (11) different. equal. (6) Procedure not warranted Yes No (7) No Procedure not warranted Yes Yes Procedure not warranted No (8) Procedure not warranted No Yes