Question: A golfing association want to investigate the effect of two types of golf clubs, a driver and a five-iron, and three brands of golf balls, on the distance the ball travels. Dan Striker, a member of the executive, assists with an experiment. He randomly selects twenty four golf players and randomly assigns four players to each of the six "treatment" combinations (the three brands of golf balls are combined with each type of club). He then measures the distance the ball travels for each golf player. Here is a table, and a plot, of the mean distances.

1. (2 points) The two way ANOVA below has no interaction term. Explain why this is . appropriate, with reference to the conditions (or assumptions) and the plot.
   
   Perform a hypothesis test, at the 1% level, to see if the brand of golf ball has an effect on the distance the ball travels.
2. (3 points) State the hypotheses:
3. (1 point) State the test statistic and p-value=
4. (2 points) Assess the evidence for Ha: strength: significance
5. (3 points) Give a full conclusion in context.

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