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The table below shows the number of hours per day 11 patients suffered from headaches before and after 7 weeks of soft tissue therapy. At
The table below shows the number of hours per day 11 patients suffered from headaches before and after 7 weeks of soft tissue therapy. At a = 0.01, is there enough evidence to conclude that soft tissue therapy helps to reduce the length of time patients suffer from headaches? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (f). Patient 1 2 3 4 5 6 7 8 9 10 11 Daily headache hours (before) 2.9 2.9 2.9 2.6 2.5 1.9 3.6 3.9 2.6 3.5 2.3 Daily headache hours (after) 2.5 3.3 2.4 1.7 1.9 1.4 3.5 3.7 2.1 1.6 2.6 (a) Identify the claim and state Ho and Ha The claim is "The therapy the length of time patients suffer from headaches." Let Ho be the hypothesized mean of the patients' daily headache hours before therapy minus their daily headache hours after it. State Ho and Ha. Choose the correct answer below. OA. Ho: Hd 20 OB. Ho: Hd 2 d OC. Ho: Hd # a Ha Hd d Ha: Hd * d Ha: Hd > 0 (b) Find the critical value(s) and identify the rejection region(s). to = 0 (Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. t 3.169 OB. t 2.764 OD. t 2.764 (c) Calculate d. d=0 (Type an integer or a decimal. Round to three decimal places as needed.) Calculate Sd Sd =0 (Type an integer or a decimal. Round to three decimal places as needed.) (d) Use the t-test to find the standardized test statistic t. t= (Type an integer or a decimal. Round to three decimal places as needed.) (e) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Reject the null hypothesis. Fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 1% significance level, there is enough evidence that soft tissue therapy helps to reduce the length of time patients suffer from headaches. O B. Soft tissue therapy increases the length of time patients suffer from headaches. O C. The sample was not large enough to make a conclusion. O D. At the 1% significance level, there is not enough evidence that soft tissue therapy helps to reduce the length of time patients suffer from headaches
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