2. (55 points total) Consider the experiment on page 20 in the notes. The navy t
ID: 3058270 • Letter: 2
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2. (55 points total) Consider the experiment on page 20 in the notes. The navy the effect of mpare 2 methods, MI and M2, of firing the guns on a battleship as well as the effect of the build of the sailor (levels slight, averase, and heavy) on number of rounds fired per minute. There were 6 sailors of each build using each method. a. (5 points) Identify the experimental unit, the factors, treatments, and response variable. b. (5 points) From examining the interaction plot below, does there appear to be significant interaction between the two factors? Why or why not? Interaction Plot for Rounds Data Means 25.0 Build Average - Heavy Slight 22.5 20.0 17.5 15.0 M1 M2 Method (10 points) Given the ANOVA table below, perform a test for a treatment effect using 5% significance level. Note that Method. Build represents the interaction between the two factors. Give the hypotheses, test statistic, P-value, conclusion, and interpretation. c. Analysis of Variance for Rounds DF Source Method MS 1 651.95 651.95 213.59 0.000 2 16.05 8.03 2.63 0.089 Build Method Build 2 1.190.59 0.19 0.824 Error Total 30 91.57 3.05 35 760.76Explanation / Answer
2. (55 points total) Consider the experiment on page 20 in the notes. The navy the effect of mpare 2 methods, MI and M2, of firing the guns on a battleship as well as the effect of the build of the sailor (levels slight, averase, and heavy) on number of rounds fired per minute. There were 6 sailors of each build using each method. a. (5 points) Identify the experimental unit, the factors, treatments, and response variable. b. (5 points) From examining the interaction plot below, does there appear to be significant interaction between the two factors? Why or why not? Interaction Plot for Rounds Data Means 25.0 Build Average - Heavy Slight 22.5 20.0 17.5 15.0 M1 M2 Method (10 points) Given the ANOVA table below, perform a test for a treatment effect using 5% significance level. Note that Method. Build represents the interaction between the two factors. Give the hypotheses, test statistic, P-value, conclusion, and interpretation. c. Analysis of Variance for Rounds DF Source Method MS 1 651.95 651.95 213.59 0.000 2 16.05 8.03 2.63 0.089 Build Method Build 2 1.190.59 0.19 0.824 Error Total 30 91.57 3.05 35 760.76
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