_ o CONRDENCE INTEWALS AND HYPOTHESIS TESTING ' = . . . . Alena V introduction to hypothesrs tests lor the populalron mean using... V GEM) For a oertain knee surgery, a mean recovery time of 13 weeks ls typical. With a new style of physical therapy, a researcher claims that the mean recovery time. u. is less than 13 weeks. In a random sampl_e of 32 knee surgery patients who practiced this new physical therapy, the mean recovery time Is 12.8 weeks. Assume that the mylation standard deviation of recovery times ls known to be 1.1 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 13 weeks? Perform a hypothesis test, using the 0.10 level of slgnificgnc . E] (a) State the null hypothesis \"0 and the alternative_hypothesis H . Ho: I] E H]: U (b) Perform a Z~test and find the g-valu . Here is some infonnah'on to help you with your Z-test. 1-\" W o The value of the test statistic is given by - 111a pvalue is the area under the curve to the left of the value of the test statistic. Standard Normai DistributEOn Step 1: Select one-tailed or two-Biled. \f(c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of signicance, about the claim made by the researcher. Since the p-value is less than (or equal to) the level of signicance, 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 X 53 ? therapy ls less than 13 weeks. Since the pvalue is less than (or equal to) the level of signicance, 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 13 weeks. Since the p-value is greater than the level of significance, 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 13 weeks. Since the p-value is greater than the level of signicance, 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 13 weeks