Question

The Lawnpoke Golf Association (LGA) has established rules that manufacturers 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 considered 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 DATA. At a = 0.05, test the no action hypothesis that the balls have a mean distance of 295 yards.

Yards 290 272 277 287 274 305 288 297 307 284 272 280 293 279 303 295 292 289 279

Please choose one of the following options:

Test 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.

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.

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.

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

Answer 1

= 287.5263

s = 10.8493

n = 19

The test statistic is

  

  

df = 19 - 1 = 18

At alpha = 0.05, the critical values are +/- t_0.025,18 = +/- 2.101

Since the test statistic value is less than the lower critical value(-3.003 < -2.101), so we should reject the null hypothesis.

It is reasonable to assume that the distance is not 295 yards.