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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 Daily headache hours (before) 3.4 2.5 2.2 1.6 3.2 2.8 3.8 2.4 3.9 2.8 2.9 Daily headache hours (after) 1. 2 3 4 8 10 11 D 7 9 2.6 3.0 1.4 1.1 2.3 1.4 3.5 2.2 2.1 1.4 3.7 (Type an integer or a decimal. Round to three decimal places as needed.) Calculate sa- Sa = (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. Fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below.

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) 3.4 2.5 2.2 1.6 3.2 2.8 3.8 2.4 3.9 2.8 2.9 Daily headache hours (after) 1. 2 3 4 8 10 11 D 7 9 2.6 3.0 1.4 1.1 2.3 1.4 3.5 2.2 2.1 1.4 3.7 (Type an integer or a decimal. Round to three decimal places as needed.) Calculate sa- Sa = (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. Fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below.

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
Section10.1: Measures Of Center
Problem 9PPS
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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. 2. 3 4 8 10 11 D 6 7 9 Daily headache hours (before) 3.4 2.5 2.2 1.6 3.2 2.8 3.8 2.4 3.9 2.8 2.9 Daily headache hours (after) 2.6 3.0 1.4 1.1 2.3 1.4 3.5 2.2 2.1 1.4 3.7 = P (Type an integer or a decimal. Round to three decimal places as needed.) Calculate sa- Sa = (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. O Fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below.
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 8 10 11 D 6 7 9 Daily headache hours (before) 3.4 2.5 2.2 1.6 3.2 2.8 3.8 2.4 3.9 2.8 2.9 Daily headache hours (after) 2.6 3.0 1.4 1.1 2.3 1.4 3.5 2.2 2.1 1.4 3.7 = P (Type an integer or a decimal. Round to three decimal places as needed.) Calculate sa- Sa = (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. O Fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below.
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