To test whether a golf ball of brand A can be hit a greater distance off the tee than a golf ball of brand B, each of 17 golfers hit a ball of each brand, 8 hitting ball A before ball B and 9 hitting ball B before ball A. The results in yards are as follows:
Assume that the differences of the paired A distance and B distance are approximately normally distributed, and test the null hypothesis H0: μD = 0 against the alternative hypothesis H1: μD > 0, using a paired t test with the 17 differences. Let α = 0.05.
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