Woo and McKenna (A-18) investigated the effect of broadband ultraviolet B (UVB) therapy and topical calcipotriol cream used together on areas of psoriasis. One of the outcome variables is the Psoriasis Area and Severity Index (PASI). The following table gives the PASI scores for 20 subjects measured at baseline and after eight treatments. Do these data provide sufficient evidence, at the .01 level of significance, to indicate that the combination therapy reduces PASI scores? The following three rows in the table are labeled respectively with following labels:Student, Baseline, After 8 treatments. 1234567891011121314151617181920 5.97.612.816.56.114.46.65.49.611.611.115.66.915.221.05.010.012.220.26.2 5.212.24.64.00.43.81.23.13.54.911.18.45.05.06.40.02.75.14.84.2

Assume that µd is the true mean difference of PSI scores which is obtained by subtracting after 8 treatments PSI scores from Baseline scores. That, is µd = µBaseline - µAfter 8 treatments.It is needed to check whether the combination therapy reduces PASI scores. Consider the hypotheses are as follows: Null hypothesis: H0: µd ≤ 0. Alternative hypothesis: H1: µd > 0 The test is right tailed. The value of sample test statistic is 5.55. The degrees of freedom for the test statistic is, 19 (= 20 – 1). Consider the level of significance is α = 0.01. Hence, the P-value using the EXCEL formula =T.DIST.RT(5.55,19), is 0. Decision rule: If P-value is less than or equal to the level of significance, then reject the null hypothesis. Otherwise fail to reject the null hypothesis. Conclusion: Here, the P -value of 0 is less that the level of significance of 0.01. Hence, reject the null hypothesis. There is sufficient evidence to indicate that the combination therapy reduces PASI scores, at 1% level of significance.

Answered: Woo and McKenna (A-18) investigated the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Woo and McKenna (A-18) investigated the effect of broadband ultraviolet B (UVB) therapy and topical calcipotriol cream used together on areas of psoriasis. One of the outcome variables is the Psoriasis Area and Severity Index (PASI). The following table gives the PASI scores for 20 subjects measured at baseline and after eight treatments. Do these data provide sufficient evidence, at the .01 level of significance, to indicate that the combination therapy reduces PASI scores?

The following three rows in the table are labeled respectively with following labels:

Student, Baseline, After 8 treatments.

1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
5.9	7.6	12.8	16.5	6.1	14.4	6.6	5.4	9.6	11.6	11.1	15.6	6.9	15.2	21.0	5.0	10.0	12.2	20.2	6.2
5.2	12.2	4.6	4.0	0.4	3.8	1.2	3.1	3.5	4.9	11.1	8.4	5.0	5.0	6.4	0.0	2.7	5.1	4.8	4.2