To test wheter a golf ball of brand A can be hit a greater distance off the tee
ID: 3270044 • 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
a)
given , n=17
alpha=0.05
null hyothesis Ho:ud=uo
H1:ud=uo
calculate test statistics
t=xbar-u/sd/sqrtn)
xbar=sum of si/n
tcal=1.6420
0.05<tcal
here we accept Ho
b)
s+=number of positive=9
s-=number of negative=8
test statistic=max(s+,s-)
here p value is =0.0011
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