PROBLEM: A golf club manufacturer claims that golfers can lower their score by using the manufacturer’s newly designed golf clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are again asked to give their most recent score. The scores for each golfer are given in the table below. Assuming the golf scores are normally distributed, test the claim of the golf club manufacturer. Let .05α=.
There are 8 golfers and these are the scores:
Old design scores: 89 84 96 82 74 92 85 91
New design scores: 83 83 92 84 76 91 80 91
D (x-y): 6 1 4 -2 -2 1 5 0
Can someone check my answers so far please? Need your help. Thanks so much.
a. Null Hypothesis: H0 : µd = 0
b. Alternate Hypothesis: Ha : µd > 0 (?) not sure if it might be µd < 0
d. Test statistic: right tailed? Critical value: 1.895?
Using the TTest method on my calculator I got: 1.498 = 1.5 (?)