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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 a=0.01, is there enough evidence to conclude that sc 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 D Daily headache hours (before) 3.4 2.7 2.9 3.5 3.5 1.9 3.3 3.7 3.1 3.7 3.3 Daily headache hours (after) 1.3 1.4 1.2 1.4 3.0 1.2 1.8 1.8 1.9 2.6 2.8 (a) Identify the claim and state Ho and Ha- The claim is "The therapy the length of time patients suffer from headaches." Let Ha 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 ≤0 OB. Ho Hd Sd OC. Ho: Hd=d Ha: Hd #d Ha: Hd >0 Ha: Hd >d OD. Ho: Hd #d Ha: Hd=d (b) Find the critical value(s) and identify the rejection region(s). OE. Ho: Hd zd Ha: Hd

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 sc 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 D Daily headache hours (before) 3.4 2.7 2.9 3.5 3.5 1.9 3.3 3.7 3.1 3.7 3.3 Daily headache hours (after) 1.3 1.4 1.2 1.4 3.0 1.2 1.8 1.8 1.9 2.6 2.8 (a) Identify the claim and state Ho and Ha- The claim is "The therapy the length of time patients suffer from headaches." Let Ha 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 ≤0 OB. Ho Hd Sd OC. Ho: Hd=d Ha: Hd #d Ha: Hd >0 Ha: Hd >d OD. Ho: Hd #d Ha: Hd=d (b) Find the critical value(s) and identify the rejection region(s). OE. Ho: Hd zd Ha: Hd

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 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 Daily headache hours (before) 3.4 Daily headache hours (after) 1.3 1.4 1.2 1.4 3.0 1.2 2 3 4 5 6 7 8 9 10 11 2.7 2.9 3.5 3.5 1.9 3.3 3.7 3.1 3.7 3.3 1.8 1.8 1.9 2.6 2.8 Identify the rejection region(s). Choose the correct answer below. O A. t-3.169 OB. t - 3.169 or 1>3.169 OC. t< -2.764 or t>2.764 OD. 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= (Tvne an integer or a decimal Round to three decimal places as needed)
Transcribed Image Text: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 Daily headache hours (before) 3.4 Daily headache hours (after) 1.3 1.4 1.2 1.4 3.0 1.2 2 3 4 5 6 7 8 9 10 11 2.7 2.9 3.5 3.5 1.9 3.3 3.7 3.1 3.7 3.3 1.8 1.8 1.9 2.6 2.8 Identify the rejection region(s). Choose the correct answer below. O A. t-3.169 OB. t - 3.169 or 1>3.169 OC. t< -2.764 or t>2.764 OD. 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= (Tvne an integer or a decimal Round to three decimal places as needed)
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 D Daily headache hours (before) 3.4 2.7 2.9 3.5 3.5 1.9 3.3 3.7 3.1 3.7 3.3 Daily headache hours (after) 1.3 1.4 1.2 1.4 3.0 1.2 1.8 1.8 1.9 2.6 2.8 (a) Identify the claim and state Ho and H₂- The claim is "The therapy the length of time patients suffer from headaches." Let Hd 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. O A. Ho: Hd SO OB. Ho: Hd Sd Hai Hd>d OC. Ho: Hd=d Ha: Hd #d Ha: Hd >0 OD. Ho: Hd #d Ha: Hd=d OE. Ho: Hd zd Ha: Hd <d (b) Find the critical value(s) and identify the rejection region(s). to = (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. t<-3.169 OF. Ho: Hd 20 Hai Hd <0 Timo Romoini
Transcribed Image Text: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 D Daily headache hours (before) 3.4 2.7 2.9 3.5 3.5 1.9 3.3 3.7 3.1 3.7 3.3 Daily headache hours (after) 1.3 1.4 1.2 1.4 3.0 1.2 1.8 1.8 1.9 2.6 2.8 (a) Identify the claim and state Ho and H₂- The claim is "The therapy the length of time patients suffer from headaches." Let Hd 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. O A. Ho: Hd SO OB. Ho: Hd Sd Hai Hd>d OC. Ho: Hd=d Ha: Hd #d Ha: Hd >0 OD. Ho: Hd #d Ha: Hd=d OE. Ho: Hd zd Ha: Hd <d (b) Find the critical value(s) and identify the rejection region(s). to = (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. t<-3.169 OF. Ho: Hd 20 Hai Hd <0 Timo Romoini
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