homework_13_ans_stud

homework_13_ans_stud - MTH 1210 Biostatistics Apr 2110...

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MTH 1210 Biostatistics Apr 21’10 Homework #13 (student’s version) ( Hypothesis Testing ) See the handouts # 15, 15a, 15b. Use the MS Excel program Hypothesis_Testing_for_the_Mean.xls or the calculator TI-83plus (or equivalent); see also other problems in the textbook on pgs 232-234. Solving the problems remember that what we hope or expect to be able to conclude as a result of the hypothesis testing usually should be placed in the alternative hypothesis H A . Formulate at first the alternative hypothesis H A and then the null hypothesis H 0 which should be complementary to H A . Then, choose the appropriate z - or t -statistic and sheet in the aforementioned Excel program: if the population standard deviation σ is known or if σ is unknown but the sample size n > 30 , use z -statistic (sheet 1 ); if σ is unknown and the sample size n ≤ 30 then use t -statistic (sheet 2 ). Click the tab <Sheet 1> or <Sheet 2> in the lower left corner of MS Excel screen, find the block of cells that corresponds to your hypotheses H 0 and H A and enter the data only in the data entry cells belonging to the B - column. 1. (7.2.1) Escobar et al. (A-3) performed a study to validate a translated version of the Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) questionnaire used with Spanish-speaking patients with hip or knee osteoarthritis. For the 76 women classified with severe hip pain, the WOMAC mean function score (on the scale from 0 to 100 with a higher number indicating less function) was 70.7 with a standard deviation of 14.6 . We wish to know if we may conclude that the mean function score for a population of similar subjects with severe hip pain is less than 75 . Let α = 0.01. ONE-Sided Hypothesis Test with z-
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homework_13_ans_stud - MTH 1210 Biostatistics Apr 2110...

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