The owner of a local golf course wants to examine the differencebetween the average ages of males and females that play on the golfcourse. Specifically, he wants to test if the average age of malesis greater than the average age of females. If the owner conducts ahypothesis test for two independent samples and calculates ap-value of 0.5441, what is the appropriate conclusion? Label malesas group 1 and females as group 2.
| 1) | We did not find enough evidence to say the average age of malesis less than the average age of females. |
|
| 2) | We did not find enough evidence to say a significant differenceexists between the average age of males and females. |
|
| 3) | We did not find enough evidence to say the average age of malesis larger than the average age of females. |
|
| 4) | The average age of males is less than or equal to the averageage of females. |
|
| 5) | The average age of males is significantly larger than theaverage age of females. |
|
You are looking for a way to incentivize the sales reps that youare in charge of. You design an incentive plan as a way to helpincrease in their sales. To evaluate this innovative plan, you takea random sample of your reps, and their weekly incomes before andafter the plan were recorded. You calculate the difference inincome as (after incentive plan - before incentive plan). Youperform a paired samples t-test with the following hypotheses: NullHypothesis: ?D ? 0, Alternative Hypothesis:?D< 0. You calculate a p-value of 0.001. What is theappropriate conclusion of your test?
| 1) | We did not find enough evidence to say there was asignificantly negative average difference in weekly income. Theincentive plan does not appear to have been effective. |
|
| 2) | The average difference in weekly income is significantlydifferent from 0. There is a significant difference in weeklyincome due to the incentive plan. |
|
| 3) | The average difference in weekly income is significantly lessthan 0. The average weekly income was higher before the incentiveplan. |
|
| 4) | The average difference in weekly income is significantly largerthan 0. The average weekly income was higher after the incentiveplan. |
|
| 5) | The average difference in weekly income is greater than orequal to 0. |
|
It is reported in USA Today that the average flight costnationwide is $468. You have never paid close to that amount andyou want to perform a hypothesis test that the true average isactually different from $468. The hypotheses for this situation areas follows: Null Hypothesis: ? = 468, Alternative Hypothesis: ? ?468. If the true average flight cost nationwide is $468 and thenull hypothesis is rejected, did a type I, type II, or no erroroccur?
| 1) | We do not know the p-value, so we cannot determine if an errorhas occurred. |
|
| 2) | Type II Error has occurred |
|
| 3) | We do not know the degrees of freedom, so we cannot determineif an error has occurred. |
|
| |
| 5) | Type I Error has occurred. |
|
