An experiment was conducted using a randomized block design with one factor. The data from the...

 

 

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An experiment was conducted using a randomized block design with one factor. The data from the experiment are displayed in the following table: Treatment 1 2 3 2 8 7 1 Block 3 6 6 2 575 3 1. (25 points) Create the ANOVA table by hand, given that SST-21.5555, SSTO= 30.2222 and CM = 266.7778. The easier computation formulas are on page F-10 in the formula packet. 2. (25 points) Perform a hypothesis test with a = .05 to determine if the treatment has a significant effect on the mean response. Give the hypotheses, test statistic, critical value, conclusion, and interpretation. 3. (25 points) Is it necessary to compare treatment level means? Why or why not? 4. (25 points) Was it helpful to use the blocking factor? Give the test statistic and the critical value, using a = .05, to justify your answer. An experiment was conducted using a randomized block design with one factor. The data from the experiment are displayed in the following table: Treatment 1 2 3 2 8 7 1 Block 3 6 6 2 575 3 1. (25 points) Create the ANOVA table by hand, given that SST-21.5555, SSTO= 30.2222 and CM = 266.7778. The easier computation formulas are on page F-10 in the formula packet. 2. (25 points) Perform a hypothesis test with a = .05 to determine if the treatment has a significant effect on the mean response. Give the hypotheses, test statistic, critical value, conclusion, and interpretation. 3. (25 points) Is it necessary to compare treatment level means? Why or why not? 4. (25 points) Was it helpful to use the blocking factor? Give the test statistic and the critical value, using a = .05, to justify your answer.