For a certain knee surgery, a mean recovery time of 9 weeks is typical. With a new style of physical therapy, a researcher claims that the mean recovery time Hy is less than 9 weeks. In a random sample of 84 knee surgery patients who practiced this new physical therapy, the mean recovery time is 8.6 weeks. Assume that the population standard deviation of recovery times is known to be 16 weeks Is there enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks? Perform a hypothesis test, using the 0.05 level of significance (a) State the nut hypothesis and the alternative hypothesis H * OD Os HD 0-0DW (6) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a *Z-test"). Here is some other information to help you with your test. 50. is the value that cuts off an area of 0.05 in the right tall, The test statistic has a normal distribution and the value is given by : vo o Standard Normal Distribution Step 1: Select one-tailed or two-tailed One-tailed Two-tailed Step 2: Enter the critical values) (Round to 3 decimal places) Step Enter the test statistic (Round to 3 decimal places ? (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the researcher Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 9 weeks