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 (). Patient Daily headache hours (before) 2.9 3.2 3.4 1.8 Daily headache hours (after) 1 2 3 4 5 10 11 P 3.8 2.5 1.8 3.3 3.8 1.2 2.9 4.3 6 7 8 9 4.4 1.8 1.7 3.6 2.2 1.1 1.1 1.4 3.5 2.2 (a) Identify the claim and state Ha and H The claim is "The therapy helps to reduce 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 H. Choose the correct answer below. OA Ho: H sd B. Họ: Ha s0 H >0 OC. Họ: Ha #d OD. Ho: Ha 20 H H <0 OE Ho: Ha =d H d R= PH:"H OF. Ho: H zd (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.)

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 ().
Patient
Daily headache hours (before) 2.9 3.2 3.4 1.8
Dally headache hours (after)
1 2
3
4 5
10 11 P
3.8 2.5 1.8 3.3 3.8
1.2 2.9 4.3
6
7
8
9
4.4 1.8
1.7 3.6 2.2 1.1 1.1 1.4 3.5 2.2
(a) Identify the claim and state Ha and H
The claim is "The therapy helps to reduce
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 H. Choose the correct answer below.
OA. Ho: H sd
B. Họ: H s0
OC. Họ: Had
H: >0
OD. Ho: Ha20
R= Prt:"H
OE Ho: Ha =d
OF. Ho: Hg zd
p> PH :"H
(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.)
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 (). Patient Daily headache hours (before) 2.9 3.2 3.4 1.8 Dally headache hours (after) 1 2 3 4 5 10 11 P 3.8 2.5 1.8 3.3 3.8 1.2 2.9 4.3 6 7 8 9 4.4 1.8 1.7 3.6 2.2 1.1 1.1 1.4 3.5 2.2 (a) Identify the claim and state Ha and H The claim is "The therapy helps to reduce 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 H. Choose the correct answer below. OA. Ho: H sd B. Họ: H s0 OC. Họ: Had H: >0 OD. Ho: Ha20 R= Prt:"H OE Ho: Ha =d OF. Ho: Hg zd p> PH :"H (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.)
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