Q 12) The Lawn poke Golf Association (LGA) has established rules that manufacturers of golf equipment must meet for their products to be acceptable for LGA events. Bat Outa Hell Balls uses a proprietary process to produce balls with a mean distances of 295 yards. Bat Outa Hell 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 below. At α = 0.05, test the no action hypothesis that the balls have a mean distance of 295 yards.
Hint:
Test H0: μ = 295.
HA: μ ≠ 295
Yards298273284292275309292302311287279282297283305299294295286
Response options:
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 statistics 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. 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. 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.
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