2. (20 points total) The navy wants to compare 2 methods, MI and M2, of firing t
ID: 3321656 • Letter: 2
Question
2. (20 points total) The navy wants to compare 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, average, and heavy) on number of rounds fired per minute. There were 6 sailors of each build using each method. (10 points) Beginning with the test for global utility, perform the necessary tests for this analysis. Do not perform any tests that are not necessary. Use 5% significance level for all tests, and give the hypotheses, test statistic, critical value, and conclusion for each. a. Analysis of Variance for Rounds MS 133.84 DF Source Model Method Build 669.19 43.88 1 651.95 651.95 213.59 2 16.05 8.03 0.59 2.63 0.19 Method Build 2 1.19 Error Total 30 91.57 3.05 35 760-76 b. (10 points) Based on your answer to part a, perform the necessary comparisons of means. Do not perform comparisons that are not necessary. Note that there are 15Explanation / Answer
Result:
a).
To test the effect of method, calculated F=213.59 which is greater than F(1,20) at 5% level critical value 4.17. The effect is significant.
To test the effect of build, calculated F=2.63 which is less than F(2,20) at 5% level critical value 3.32. The effect is not significant.
To test the effect of interaction, calculated F=0.19 which is less than F(2,20) at 5% level critical value 3.32. The interaction effect is not significant.
b).
There is significant difference between the treatment M1 and M2 .
There is no significant difference between any of the treatment combination of means.
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