1.The Lawnpoke Golf Association (LGA) has established rules that manufactures of golf equipment must meet for their products to be acceptable for LGA events. BatOutaHell Balls uses a proprietary process to produce balls with a mean distances of 295 yards. BatOutaHell is concerned that if the mean distance falls below 295 yards, the word will get out and sales will sag. Further, if the mean distance exceeds 295 yards, their balls may be rejected by LGA. Measurements of the distances are recorded in the following DATA:

Yards

290

272

277

287

274

305

288

297

307

284

272

280

293

279

303

295

292

289

279

At ax = 0.05, what happens if I test the no action hypothesis that the balls have a mean distance of 295 yards.

a.The test statistic is 3.003 and the critical value is 1.734, therefore the test statistic is greater than the critical value of 1.734 and the null hypothesis is rejected. The distance is not 295 yards.

b.The test statistic is 1.297 and the critical value is 1.734, therefore the test statistics is less than the critical value and the null hypothesis is not rejected. The distance is about 295 yards.

c.The test statistic of 1.908 is greater than the critical value of 1.734, therefore H0 is rejected. It is reasonable to assume that the distance is not 295 yards

d.The test statistic of 2.238 is greater than the critical value of 1.734, therefore H0 is rejected. It is reasonable to assume that the distance is not 295 yards.

2.The Fast N' Hot food chain wants to test if their "Buy One, Get One Free" program increases customer traffic enough to support the cost of the program. For each of 15 stores, one day is selected at random to record customer traffic with the program in effect, and one day is selected at random to record customer traffic with the program not in effect. The results of the experiment are documented below:

Customer Traffic

With Program Without Program

134 140

246 233

116 110

42 42

335 332

145 135

164 151

31 33

183 178

149 147

176 162

257 243

155 149

61 48

343 346

For each store, help calculate the difference = traffic with program minus traffic without program. At ax = 0.05, test the hypothesis that the mean difference is at most 0 (as best the program makes no difference, or worse it decreases traffic) against the alternative that the mean difference > 0 (the program increases traffic).

a.The pvalue rejects H0: Mean difference > 0.

b.None of the answers are correct.

c.The pvalue of 0.002 provides overwhelming evidence against H0. H0 is rejected at ax = 0.05. You decided that the program results in increased customer traffic, overall, and recommend the program be implemented.

d.The pvalue of 0.033 provides strong evidence against H0. H0 is rejected at ax = 0.05. You decide to recommend further evaluation of the program.

e.The pvalue of 0.221 indicates that the data provide insignificant evidence against H0. H0 is not rejected at ax = 0.05. You decide to conclude the study and not to recommend the program.

f.The pvalue of 0.084 provides weak evidence against H0. H0 is not rejected at ax = 0.05. You decide the evidence is not strong enough to recommend further evaluation of the program.