A physical therapist suggests that soft tissue massage therapy helps to reduce the numbers of days per week patients suffer from headaches. The table shows the numbers of days per week 18 patients suffered from headaches before and after 6 weeks of receiving massage therapy. At α = 0.01, is there enough evidence to support the therapist’s claim?

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value(s) and identify the rejection region(s), 

(c) Calculate d and s_d, 

(d) Find the standardized test statistic t, 

(e) Decide whether to reject or fail to reject the null hypothesis, and 

(f ) interpret the decision in the context of the original claim. Assume the samples are random and dependent, and the populations are normally distributed.

Transcribed Image Text:

Patient 3 4 5 Days (before) 4 5 5 4 4 Days (after) 5 3 3 4 3 4 3 5 2 16 10 11 14 Patient 12 13 15 17 18 Days (before) 5 5 3 4 4 5 5 5 5 Days (after) 3 2 3 4 4 3 6, 4,