Patient Daly headache hours (before Daly headache ours (ater) (a) kdently the cain and state H, and H, The daim is "The herapy the ength of sme patents suer tom headaches Let g be he hypohesized mean of the patienta daly headache hours before herapy minus their daily headache hours ater Sate Hy and Hy. Choose the comect answer below OB. H: 20 ) Find he otical value) and denly the rejection region (Ue a comma to separate anwers as needed. Type an integer or a decimal. Round to three decimal places as needed) Identfy the rejection region) Choose the comect anseer below OA I-3.169 or316 OB. t-2764 or 74 ne. te-3.169 OD. 24 Caluate Tye ) an integer or a decimal Round to ee decimal places a needed Caloulate ype an Use the Hest o fed the standared test statistic L nteger or a decima Round to e decimal places as needed) Tean n hteger ora decimal. Round to ee decimal places as needed) () Decide whether toreject or faltot he nypothesis Choose the comect aneer below O Fal to reject the nul hypothesis. O Reject the nu hypothesi nterpret the decision in the content of the original claim. Choose the comect answer below OA Ahe 1% sioniicance level here is not enouah evidence that soft ue theraov helos to reduce the lenoth of time oatents sufer trom headaches

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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).
345678 9 10 11a
Daily headache hours (before) 2.2 3.3 3.9 3.7 4.2 2.5 4.4 3.3 2.2 4.1 4.1
1.3 2.7 1.5 3.3 1.6 1.6 3.9 1.4 1.4 2.8 3.6
Patient
1 2
Daily headache hours (after)
(a) Identify the claim and state H, and H
The claim is "The therapy
V the length of time patients suffer from headaches."
Let g be the hypothesized mean of the patients' daily headache hours before therapy minus their daily headache hours after it. State Hg and Hg. Choose the correct answer below.
OA H P a
OB. Ho: Ha 20
OC. H, Ha sa
O D. Ho Ha s0
H H >0
E. He: k za
OF. Ho: a
OE.
Ha: Ha d
(b) Find the critical value(s) and identify the rejection region(s).
6-0
(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 or t> 3.169
B. t< -2.764 or t> 2.764
O c. t< -3.169
O D. t>2.764
(c) Calculate d.
(Type an integer or a decimal. Round to three decimal places as needed.)
Calculate sg.
(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 Fail to reject the null hypothesis.
O Reject the null hypothesis.
(1) Interpret the decision in the context of the original claim. Choose the correct answer below.
O A. At the 1% sianificance level. there is not enouah evidence that soft tissue therapv helos to reduce the lenath of time patients suffer from headaches.
O B. Soft tissue therapy increases the length of time patients suffer from headaches.
Oc. The sample was not large enough to make a conclusion.
O D. At the 1% sianificance level. there is enouah evidence that soft tissue therapv helos to reduce the lenath of time patients suffer from headaches.
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). 345678 9 10 11a Daily headache hours (before) 2.2 3.3 3.9 3.7 4.2 2.5 4.4 3.3 2.2 4.1 4.1 1.3 2.7 1.5 3.3 1.6 1.6 3.9 1.4 1.4 2.8 3.6 Patient 1 2 Daily headache hours (after) (a) Identify the claim and state H, and H The claim is "The therapy V the length of time patients suffer from headaches." Let g be the hypothesized mean of the patients' daily headache hours before therapy minus their daily headache hours after it. State Hg and Hg. Choose the correct answer below. OA H P a OB. Ho: Ha 20 OC. H, Ha sa O D. Ho Ha s0 H H >0 E. He: k za OF. Ho: a OE. Ha: Ha d (b) Find the critical value(s) and identify the rejection region(s). 6-0 (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 or t> 3.169 B. t< -2.764 or t> 2.764 O c. t< -3.169 O D. t>2.764 (c) Calculate d. (Type an integer or a decimal. Round to three decimal places as needed.) Calculate sg. (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 Fail to reject the null hypothesis. O Reject the null hypothesis. (1) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 1% sianificance level. there is not enouah evidence that soft tissue therapv helos to reduce the lenath of time patients suffer from headaches. O B. Soft tissue therapy increases the length of time patients suffer from headaches. Oc. The sample was not large enough to make a conclusion. O D. At the 1% sianificance level. there is enouah evidence that soft tissue therapv helos to reduce the lenath of time patients suffer from headaches.
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