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To test wheter a golf ball of brand A can be hit a greater distance off the tee

ID: 3296660 • 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 0

Explanation / 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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