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 x = 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 randomand dependent, and the population is normally distributed. Complete parts (a) through (f).Patient8 9 10 11 Q1Daily headache hours (before) 2.33.4 3.3 2.6 1.8Daily headache hours (after) 1.8 2.7 1.8 1.6 1.9 1.9 1.2 2.5 2.2 2.0 1.12 3 4 5 6 74.1 3.2 3.5 2.4 3.7 2.6C(a) Identify the claim and state Ho and HaThe claim is "The therapythe length of time patients suffer from headaches."Let μd be the hypothesized mean of the patients' daily headache hours before therapy minus their daily headache hours after it. State Ho and H₂. Choose the correct answer below.OA. Ho: Hd=dO C. Ho: Hd ≤0OB. Ho. Họ sởHa: Hd >dHa: HddHa: Hd>0OD. Ho: Hd #dHa:Hd=dO E. Ho: Hd zdHa: Hd 3.169O B. t< -2.764 or t>2.764OC. t - 3.169O D. t>2.764(c) Calculate d.d=(Type an integer or a decimal. Round to three decimal places as needed.)Calculate Sd.Sd=(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.O Reject the null hypothesis.OFail 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 not enough evidence that soft tissue therapy helps to reduce the length of time patients suffer from headaches.O B. The sample was not large enough to make a conclusion.O C. Soft tissue therapy increases the length of time patients suffer from headaches.O D. At the 1% significance level, there enough evidence that soft tissue therapy helps to reduce the length of time patients suffer from headaches.

There are 2 dependent samples which are daily headache hours before and after. We have to test…

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 rando 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) 2.3 4.1 3.2 3.5 2.4 3.7 2.6 3.4 3.3 2.6 1.8 Daily headache hours (after) 1.8 2.7 1.8 1.6 1.9 1.9 1.2 2.5 2.2 2.0 1.1 C (a) Identify the claim and state Ho and H₂ The claim is "The therapy the length of time patients suffer from headaches." Let u be the hypothesized mean of the patients' daily headache hours before therapy minus their daily headache hours after it. State Ho and H₂. Choose the correct answer below. OA. Ho: Hg = OB. Hg: Hg Sd H₂: Had H₂: Hgd H₂:0 06, Hoi Hy 50 OF Hoi Hy 20 H₂: Hg <0 OD. Ho: Pg #d H₁: Pg=d OE H₂: Mg 2 Најњед (b) Find the critical value(s) and identify the rejection region(s). (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. OA. <-3.169 or t>3.169 OB. <-2.764 or 1>2.764 OC. t-3.169 OD. 1>2.764 (c) Calculate d. (Type an integer or a decimal. Round to three decimal places as needed.) Calculate - (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 (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. O Reject the null hypothesis. O Fail to reject the null hypothesis. (1) Interpret the decision in the context of the original claim. Choose the correct answer below. OA. 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. OB. The sample was not large enough to make a conclusion. OC. Soft tissue therapy increases the length of time patients suffer from headaches. OD. At the 1% significance level, there is enough evidence that soft tissue therapy helps to reduce the length of time patients suffer from headaches.