A student in aerospace engineering is studying the relationship between the curvature of the leading edge of an airplane wing and the lift it produces. They build 6 plastic wings. Two are randomly assigned to have no curvature, two are randomly assigned to have slight curvature and the last two have moderate curvature. The lit generated by each wing is measured 10 times in a wind tunnel, so there are a total of 60 observations. It is reasonable to assume that the 6 plastic wings represent a random sample from the population of all wings. Let Yijk denote the observed lift associated with the kth replicate of the jth wing having the ith type of curvature. (a) Set up an ANOVA table corresponding to a reasonable model for this study based on the study description. The ANOVA table should include all source of variation and the corresponding degrees of freedom. Also include the degrees of freedom associated with the total sums of squares. (b) If the investigator wants to test the hypothesis of no effect of curvature, what is the appropriate MS to use as the denominator of the F-statistic? When you specify the MS, reference the appropriate source of variation in the above ANOVA table. What are the degrees of freedom associated with the denominator? (c) Consider the mean of all observations associated with the ith curvature Y... Find the variance of the difference between any two of the three levels of curvature, i.e. V-y... i *i*, based on the model you assumed in parts (a) and (b). A student in aerospace engineering is studying the relationship between the curvature of the leading edge of an airplane wing and the lift it produces. They build 6 plastic wings. Two are randomly assigned to have no curvature, two are randomly assigned to have slight curvature and the last two have moderate curvature. The lit generated by each wing is measured 10 times in a wind tunnel, so there are a total of 60 observations. It is reasonable to assume that the 6 plastic wings represent a random sample from the population of all wings. Let Yijk denote the observed lift associated with the kth replicate of the jth wing having the ith type of curvature. (a) Set up an ANOVA table corresponding to a reasonable model for this study based on the study description. The ANOVA table should include all source of variation and the corresponding degrees of freedom. Also include the degrees of freedom associated with the total sums of squares. (b) If the investigator wants to test the hypothesis of no effect of curvature, what is the appropriate MS to use as the denominator of the F-statistic? When you specify the MS, reference the appropriate source of variation in the above ANOVA table. What are the degrees of freedom associated with the denominator? (c) Consider the mean of all observations associated with the ith curvature Y... Find the variance of the difference between any two of the three levels of curvature, i.e. V-y... i *i*, based on the model you assumed in parts (a) and (b)