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

alpha

equals

?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
Daily headache hours left parenthesis before right parenthesis

1.9

2.6

3.2

3.8

2.8

4.1

3.4

2.5

3.2

3.3

3.4

Daily headache hours? (after)	1.5

1.1

1.6

2.1

1.6

3.5

1.8

1.1

2.4

1.4

2.1

(b) Find the critical value(s) and identify the rejection region(s). (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. ( 2.764 O B. t 3.169 O C. 1 2.764 (c) Calculate d. d= (Type an integer or a decimal. Round to three decimalplaces as needed.) Calculate S 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. (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. O A. The sample was not large enough to make a conclusion. OB. At the 1% significance level, there is not enough evidence that soft tissue therapy helps to reduce the length of time patients suffer from