5.27. I have recently purchased new golf clubs, which I believe will significantly improve my game. Below are the scores of three rounds of golf played at three different golf courses with the old and the new clubs.

(a) Conduct an analysis of variance. Using ( $ 0.05, what conclusions can you draw?

(b) Investigate model adequacy by plotting the residuals.

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Course Clubs Ahwatukee Karsten Foothills Old 90 91 88 87 93 86 86 90 90 New 88 90 86 87 91 85 85 88 88