A sporting goods manufacturing company wanted to compare the

A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Ten balls of each design were brought to a local golf course for testing by the club pro. The order that the balls were selected was random and all 40 balls were hit within a short period of time which minimized the effect of the environment.

Group C

Data collected

Question: At the 0.05 level of significance, is there evidence of a difference (using a two-tail test) in the mean distances traveled by the different designs?

In your answer include:

a) the appropriate hypotheses

b) what would be the Type I error?

c) what would be the Type II error?

d) as the billing company, which error would be most important?

e) what are the assumptions and conditions?

f) perform the test and find the p-value (hint: please use either ANOVA in graphing calculator, or stats addin for Windows Excel, or StatsPlus app available (free) online for both Mac and Windows)

g) state your conclusion

h) do you think the difference is meaningful?

Solution