The Lawnpoke Golf Association (LGA) has established rules thatmanufacturers of golf equipment must meet for their products to beacceptable for LGA events. BatOutaHell Balls uses a proprietaryprocess to produce balls with a mean distances of 295 yards.BatOutaHell is considered that if the mean distance falls below 295yards, the word will get out and sales will sag. Further, if themean distance exceeds 295 yards, their balls may be rejected byLGA. Measurements of the distances are recorded in DATA. At a =0.05, thest the no action hypothesis that the balls have a meandistance of 295 yards.
a) The test statistic of 2.238 is greater than the criticalvalue is 2.101 therefore HO is rejected. it is reasonable to assumethat the distance is not 295 yards.
b) The test statistic of 3.003 and the critical value is 2.101,therefore the test statistic is greater than the critical value of2.101 and the null hypothesis is rejected. The distance is not 295yards
c) The test statistic of 1.908 is less than the critical valueof 2.101 therefore HO is not in the area of rejection. It isreasonto assume that the distance is about 295 yards.
d) The test statistic is 1.297 and the critical value is 2.101therefore the test statistic is less than the critical value andthe null hypothesis is not rejected. The distance is about 295yards.
Yards |
293 |
275 |
280 |
290 |
273 |
306 |
287 |
301 |
309 |
285 |
274 |
282 |
294 |
283 |
304 |
297 |
294 |
290 |
283 |