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Ty mean reco weeks is typical With a new style of physical therapy a researcher claims that the mean recovery time is less than 9 weeks In a random sample of 73 knee surgery patients who practiced this new physical therapy the mean recovery time is 8 8 weeks Assume that the population standard deviation of recovery times is known to be 0 9 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 null hypothesis H and the alternative hypothesis H Ho 0 H 0 b Perform a z test and find the p value Here is some information to help you with your Z test The value of the test statistic is given by Standard Normal Distribution Step 1 Select one tailed or two tailed O One tailed O Two tailed Step 2 Enter the test statistic Round to 3 decimal places Step 3 Shade the area represented by the p value X H 0 Step 4 Enter the p value Round to 3 decimal places The p value is the area under the curve to the left of the value of the test statistic 03 01 Since the p value is less than or equal to 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 9 weeks Since the p value is less than or equal to the level of significance 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 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 9 weeks O O Oso O 020 Since the p value is greater than the level of significance the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean recovery time of patients who X X 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 X D

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