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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 B C 162

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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 B C 162 143 126 142 155 123 164 125 139 146 142 140 148 136 151 168 157 125 Sample 155 143 134 mean Sample variance 119.6 142.8 123.2 (@) 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 Degrees Mean of Variation of Squares of Freedom Square p-value Treatments Error Total (f) 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 PA H : Not all the population means are equal. O H : At least two of the population means are equal. H: At least two of the population means are different. O Hy: Not all the population means are equal. Ha HA = He = PC 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. O Do not reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal. O Reject Hy. There is not sufficient evidence to conclude that the means for the three treatments are not equal. O Reject Hy. There is sufficient evidence to conclude that the means for the three treatments are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal

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