1. At the 0.05 level of significance is there evidence of a difference
2. Do the results in question 1 indicate that it is appropriate to use the Tukey-Kramer procedure to determine which designs differ. (You may need to do a little research of your own to get the equations to do thisit is not hard but Excel does not do this calculation with a "couple of clicks.")
3. Ifthemanufacturerwishedtobuildthe.whichdesignshouldthefirmselect?

Agolfballmanufacturerdesirestocomparethedistancetraveledbygolfballsusingfouruniquedesigns.Fifteenballsweremanufacturedandeachwasbroughttothelocalgolfcoursefortestingbythelocalpro.Theorderofthegolfballshitbytheprofessionalwasrandomizedsotheprodidnotknowwhichballwasbeinghit.All60ballswerehitoverashorttimeperiodtoreduceanypotentialenvironmentaleffects.Distancestraveledforeachballare

A B C D

1 227.77 217.08 230.55 206.32

2 224.79 221.43 227.95 207.94

3 229.75 218.04 231.84 206.19

4 228.51 224.13 224.87 204.45

5 221.44 211.82 229.49 209.65

6 223.85 213.90 231.10 203.81

7 223.97 221.28 221.53 206.75

8 234.30 229.43 235.45 205.68

9 219.50 213.54 228.35 204.49

10 233.00 214.51 225.09 210.86

11 224.79 221.43 227.95 207.94

12 228.51 224.13 224.87 204.45

13 223.85 213.90 231.10 203.81

14 234.30 229.43 235.45 205.68

15 233.00 214.51 225.09 210.86