You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Treatment A C 161 143 125 143 156 123 164 123 137 144 141 141 148 136 150 176 153 128 Sample 156 142 134 mean Sample 173.2 143.2 110.4 variance (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.)(1') Set up the ANOVA table for this problem. (Round your values for MSE and Fto two decimal p aces, and yourpvalue to four decimal places.) Source Sum Degrees Mean of Variation of Squares of Freedom Square pval ue Treatments I I I I I Total ya ya Error l; l; ll At the a = 0.05 level of significance, test whether the means for the three treatments are equal. State the null and alternative hypotheses. '22:} HQ: Not all the population means are equal. Ha: INA _ 2L1! I\"B -c HQ: pg 9: \"E. i .\"(3 Ha: INA = \"B = #1:: '1} HQ: At least two of the population means are equal. Ha: At least two of the population means are different. '22} Ho: pA = [NB = Inc Ha: \"A I-\"E. ;' uc Ho: \"A = [NB = Inc Ha: Not all the population means are equal. J : Find the pValue. (Round your answer to four decimal places.) Find the value of the test statistic. (Round your answer to two decimal places.)