Ola has modified their restaurant coverage maps in order to try and reduce the average time between a customer submitting an order and the arrival of that order?(called the completion time?). The last three months had a mean completion time of 25 mins. A random sample of 36 orders placed with the new coverage maps has a mean completion time of 22.2 minutes with a sample standard deviation of 6 mins.

1. The null and alternative hypotheses for this test?are?
2. What is the test statistic for this?test?
3. What?is(are) the critical?value(s) for this?test?
4. What is the conclusion for this?test?

Since the test statistic is (less/greater) than the critical?value, (do not reject/reject) the null hypothesis and conclude that there is (insufficient/ sufficient) evidence that the completion time has improved.

5.Use the?p-value approach at a 0.05 level of?significance, to determine if there is evidence that the completion time has improved.

6.What is the?p-value for this?test?

7.What is the conclusion for this?test?

Since the?p-value is (greater/less) than ? ?, (do not reject/reject) the null hypothesis and conclude that there is (insufficient/sufficient) evidence that the completion time has improved.

8..Interpret the meaning of the?p-value in this problem. Choose the correct answer below.

9.0!\"? The p-value is the probability of selecting a sample with a completion time of 22.2 minutes or less, given that the population mean completion time is 25 minutes. The p-value is the probability of selecting a sample with a completion time of 25 minutes or more, given that the population mean completion time is 22.2 minutes. The p-value is the probability of selecting a sample with a completion time of 22.2 minutes or more, given that the population mean completion time is 25 minutes. The p-value is the probability of selecting a sample with a completion time of 25 minutes or less, given that the population mean completion time is 22.2 minutes. PPS\"? The critical value approach and the p-value approach may give different conclusions for any of the types of tests studied (one-sided and two-sided, and both for the mean and the proportion). The critical value approach and the p-value approach will always result in the same conclusion for only some (but not all) of types of tests studied (one-sided and two-sided, and both for the mean and the proportion). The critical value approach and the p-value approach will always result in the same conclusion for all types of tests studied (one-sided and two-sided, and both for the mean and the proportion). The critical value approach and the p-value approach will always give a different conclusion for at least some of types of tests studied (one-sided and two-sided, and both for the mean and the proportion)