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You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Treatment A B C
You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Treatment A B C 163 142 126 142 157 121 165 123 137 146 143 140 149 137 149 165 156 131 Sample 155 143- 134 mean Sample 110.0 160.4 variance 102.4 (a) Compute the sum of squares between treatments. (b) Compute the mean square between treatments. (c) Compute the sum of squares due to error. (d) Compute the mean square due to error. (Round your answer to two decimal places.) (e) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum of Variation of Squares Degrees of Freedom Mean Square Treatments Error Total p-value (At the a 0.05 level of significance, test whether the means for the three treatments are equal. State the null and alternative hypotheses. OH HAH-Mc H: Not all the population means are equal. O Ho: HAHHC OH HAHBHc HAHA HB HC O Ho: Not all the population means are equal. HHA HB HC O Ho: At least two of the population means are equal. H: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value- State your conclusion. Do not reject Ho There is not sufficient evidence to conclude that the means for the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal. O Do not reject Ho There is sufficient evidence to conclude that the means for the three treatments are not equal. Reject Ho- There is not sufficient evidence to conclude that the means for the three treatments are not equal
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