To test wheter a golf ball of brand A can be hit a greater distance off the tee
ID: 3296720 • Letter: T
Question
To test wheter 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. The results are as follows:
Golfer
1
2
3
4
5
6
7
8
9
Ball A
265
272
246
260
274
263
255
258
276
Ball B
252
276
243
246
275
246
244
245
259
Golfer
10
11
12
13
14
15
16
17
Ball A
274
274
269
244
212
235
254
224
Ball B
260
267
267
251
222
235
255
231
Golfer
1
2
3
4
5
6
7
8
9
Ball A
265
272
246
260
274
263
255
258
276
Ball B
252
276
243
246
275
246
244
245
259
Golfer
10
11
12
13
14
15
16
17
Ball A
274
274
269
244
212
235
254
224
Ball B
260
267
267
251
222
235
255
231
H, HUD 0Explanation / Answer
USING minitab
Paired T-Test and CI: ball A, ball B
Paired T for ball A - ball B
N Mean StDev SE Mean
ball A 17 256.18 18.70 4.54
ball B 17 251.41 14.93 3.62
Difference 17 4.76 9.09 2.20
95% lower bound for mean difference: 0.92
T-Test of mean difference = 0 (vs > 0): T-Value = 2.16 P-Value = 0.023
p value(0.023) < alpha(0.05)
reject null hypothesis.
b)
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