Experiment 1: An agronomist wanted to compare the yield of three different varieties of rice (A, B, C). So, within a field, he randomly assigned each variety to five plots. The yield[s] in pounds per acre were recorded for each plot. Go back to the original experiment in (1) where we are only interested in variety, not fertilizer. The agronomist realized that he wanted his results to apply over a range of soil conditions. So, he decided to conduct the experiment on 4 different locations (subdivisions) in a field so that the elevation and type of soil vary. He planted each variety on one plot within each subdivision of the field. Again, the yield[s] in pounds per acre were recorded for each plot.   (a) What is the response in the study?   (b) What is the factor in the study? What are the factor levels?   (c) What are the treatments? What are the blocks, if any?

Question # 5: Twenty-five army inductees in Ontario were given a blood test to determine their blood type. The data set is A  B  B  AB  O O  O  B  AB  B B  B  O   A   O A  O  O   O  AB                                                 AB  A  O   B   A Calculate the single-number estimate of the population proportion of the army inductees who got blood type O.

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Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish treats after each successful attempt at a new trick. The following table lists the dolphins, the number of treats per success given to each, and the average number of attempts necessary for each to learn to perform the tricks. Dolphin Number of Treats Number of Attempts Diana 2 Frederick 4 Fatima Marlin Ŷ = bX + a You can use the preceding sample data to obtain the regression line, where Ŷ is the predicted value of Y: b = One formula for the slope of the regression line is as follows: SP = To calculate the slope, first calculate SP and SSx: 1 3 and SSx = ∞587 (Hint: For SP use the computational formula and for SSx use the definitional formula.) The slope of the regression line is Frederick Fatima Marlin The difference between Y and Ŷ for a particular sample point (observation) is called a residual. Calculate the predicted Y (Y) for each of the dolphins, and then calculate the residuals. 4…