2. A study is conducted to examine the effects of vitamin and milk supplements on infant weight gain. Four diet plans ar
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2. A study is conducted to examine the effects of vitamin and milk supplements on infant weight gain. Four diet plans ar
2. A study is conducted to examine the effects of vitamin and milk supplements on infant weight gain. Four diet plans are considered in this study. Two hundreds infants are randomly selected for this study, and they are randomized to one of the four diet plans. The following table displays the summary statistics about the weight gains (in pounds) after 30 days. Diet Vitamin Special milk Population Sample Sample size Sample variance supplement plan formula mean size mean variance A No No 1411 50 1.5 0.31 B No Yes 50 #12 1.6 0.25 с Yes No 121 50 2.0 0.30 D Yes Yes #22 50 2.2 0.23 Consider the contrast for the interaction effect of the vitamin supplement and the special milk formula: AB = #11-12-21 +1422. (a) (5 points) Calculate Mean Squares with Samples (MSW). (b) (5 points) Estimate AB and its Standard Error. (c) (5 points) Test the hypothesis Ho: AB = 0 against H₁ CAB #0 via either t-test. Use a significance level of a = 0.05. (d) (5 points) Calculate the predicted asking price of a house of 2.1 thousand square feet, and construct a 95% two-sided prediction interval.
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