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Given the following sample information, test the hypothesis that the treatment means are equal at the 0.10 significance level: Treatment 1 Treatment 2 Treatment 3

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Given the following sample information, test the hypothesis that the treatment means are equal at the 0.10 significance level: Treatment 1 Treatment 2 Treatment 3 3 9 6 2 6 3 5 5 5 1 6 5 3 8 5 1 5 4 4 1 7 5 6 4 a. State the nu l hypothesis and the alternative hypothesis. H0411 = 0H2 = Oils H1 : Treatment means are not 0 all the same. b. What is the decisior rule? (Round the final answer to 2 decimal places.) Reject H0 if F> 3.47 o . c. Compute SST, SSE, and SS total. (Round the final answers to 2 decimal places.) SST: 46.96 0 SSE: 53.00 a SStotal= 99.96 0 d. Complete the ANOVA table. (Round the 55, M5, and Fvalues to 2 decimal places.) Source 55 DF MS F Factor 46.96 0 2 O 23.48 0 9.36 0 Error 53.66 0 21 o 2.52 0 Total 99.96 0 23 O e. State your decision regarding the null hypothesis. Decision: Reject 0H0 f. Find the 95% confidence interval for the difference between treatment 2 and 3. (Round the final answers to 2 decimal places.) 95% confidence interval is: 1.75 o i 1.57 Q We can conclude that the treatmerts 2 and 3 are different 0

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