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 Daily headache hours (before) 2.2 3.4 3.2 2.1 3.4 4.4 4.1 3.3 2.8 2.6 3.5 Daily headache hours (after) 1 2 3 4 5 6 7 8 9 10 11 D 1.7 1.3 1.7 1.2 2.6 1.8 2.3 1.8 2.1 1.3 1.7 O B. Ho: Ha = d OC. Ho: Hd20 A. Ho: Ha s0 Ha: H>0 OF. Ho: Ha sd O E. Ho: H2d Ha: Ho

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Find the critical​ value(s) and identify the rejection​ region(s). ​(c) Calculate d. Calculate sd. ​(d) Use the​ t-test to find the standardized test statistic t. (e) Decide whether to reject or fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim.
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
4
7
10
11 P
Daily headache hours (before) 2.2 3.4 3.2 2.1 3.4 4.4 4.1 3.3 2.8 2.6 3.5
Daily headache hours (after)
1.7 1.3 1.7 1.2 2.6 1.8 2.3 1.8 2.1 1.3 1.7
A. Ho: Has0
O B. Ho: H=d
O C. Ho: H20
O F. Ho: Ha sd
OE. Ho: Had
Ha: Ho <d
O D. Ho: Ha #d
Ha: Hg>d
p = Prt :H
(b) Find the critical value(s) and identify the rejection region(s).
to =]
needed.)
(Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places
Enter your answer in the answer box and then click Check Answer.
Check Answer
Clear All
7
parts
remaining
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 4 7 10 11 P Daily headache hours (before) 2.2 3.4 3.2 2.1 3.4 4.4 4.1 3.3 2.8 2.6 3.5 Daily headache hours (after) 1.7 1.3 1.7 1.2 2.6 1.8 2.3 1.8 2.1 1.3 1.7 A. Ho: Has0 O B. Ho: H=d O C. Ho: H20 O F. Ho: Ha sd OE. Ho: Had Ha: Ho <d O D. Ho: Ha #d Ha: Hg>d p = Prt :H (b) Find the critical value(s) and identify the rejection region(s). to =] needed.) (Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 7 parts remaining
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