The yields of a genetically modified wheat (in bushels per acre) were compared for five different varieties, A, B, C, D, and E, at six different locations. Each variety was randomly assigned to a plot at each location. The results of the experiment are shown below. Analyze the experiment using appropriate method. Location 1 2 VARIETY 35.3 31.0 32.7 36.8 37.2 33.1 30.7 32.2 32.4 31.7 35.0 32.7 C 38.2 33.4 33.6 37.1 37.3 38.2 D 34.9 36.1 35.2 38.3 40.2 36.0 32.4 28.9 29.2 30.7 33.9 32.1 45.) What is the value of MSTr? B.) 13.72 a.) 12.69 C.) 13.63 D.)35.67 46.) What is the degree of freedom of treatment? a.) 29 b.) 5 c.) 20 d.) 4 47.) The following are true about alternative hypothesis, except: a.) A hypothesis that the investigator is trying to reject b.) Investigator's hypothesis c.) There is a true relationship between variable d.) A hypothesis that the investigator is trying to prove 48.) Wilcoxon rank-sum test deals with related variable. True or false?

Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. For a random sample of years, one plot gave the following annual wheat production (in pounds). 4.02 4.17 3.87 3.99 3.72 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.302.Another random sample of years for a second plot gave the following annual wheat production (in pounds). 3.49 3.61 3.49 4.06 4.03 3.72 4.13 4.01 3.59 4.29 3.78 3.19 3.84 3.91 3.66 4.35 Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.100.Test the claim that the population variance of annual wheat production for the first plot is larger than that for the second plot. Use a 1% level of significance. State the…

Consider the following situation. A completely randomized design was used to assess the effects of a treatment (say A) on the yield (say Y) of a particular process. Treatment A had three levels (say A1, A2, and A3) and the design was unbalanced in that the sample sizes for each treatment level were n₁ = 4, n2 = 5, n3 =6 respectively. The data was analyzed using R and produced the following statistics: SSbetween 2032.20, M Swithin = 74.76, Y₁ = 94.5, Y₂ = 105.2, Y3 = 122.7. Fill in the blanks for the incomplete ANOVA table. What is the corresponding F-statistic and p-value for testing the alternative hypothesis that the means of the three treatments are not all equal? Mean square (MS) F-statistic p-value a.. Between Within Total Sum-of-squares (SS) Degrees of freedom 2032.20 74.76

K Contrast bath treatments use the immersion of an injured limb alternately in water of two contrasting temperatures. Those who use the method claim that it can reduce swelling. Researchers compared three treatments: (1) contrast baths and exercise, (2) contrast baths alone, and (3) exercise alone. They report the boxplots to the right, (... Change in Volume (cc) 40- 20- 0- -20- -40- O HH • HTH TH Treatment 3 a) The researchers conclude that the differences were not statistically significant. Explain what that means in context. Q o OA. There is no evidence that the changes in swelling were different among the three treatments. The experiment should be run again with more subjects. OB. There is evidence that the changes in swelling were different among the three treatments, but not enough data to tell which treatment was most effective. All three treatments appear to cause an unknown but unequal reduction in swelling. OC. There is no evidence that the changes in swelling were different…