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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 Treatment Treatment A

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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 Treatment Treatment A B 32 45 34 29 44 36 29 44 36 27 47 37 33 50 32 Sample mean 30 46 35 Sample variance 6.00 6.50 4.00 (a) At the a = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H: At least two of the population means are different. OHO: HA + HB * HC Ha HA = HB = HC OHO: HA = HB - HC Ha: HA + HB + HC O HO: HA = HB = HC Ha: Not all the population means are equal. O Ho: Not all the population means are equal. Ha: HA - HB = HC Find the value of the test statistic. (Round your answer to two decimal places.) 58.18 X Find the p-value. (Round your answer to three decimal places.) p-value = 0.000 State your conclusion. Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not There is sufficient evidence to conclude that the means of the three treatments are not equal

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