statistics with a rank sum of 58 in the sample of size 6

There are 15 questions. Most of the content is data from charts and tables.Chapter 9 QuestionsProblem 9.4 Suppose there are two samples of size 6 and 7 with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank-sum test evaluate the significance of the results assuming there are no ties.———————————————————Table 2.11IdDur_stayAgeSexTempWhiteBCAntibioBact_culService1530299822121073298521136402991222241147298.242225525298.51122261482196.8612273060199.5811181156298.67221917432987221103501981221211959297.672111234197.8322213822299.51112214833298.41411215520298.41121216532199922217736199.2612218469198622219347197512120722198.2622221911198.210222221119198.614122231167297.6422124943298.65222254412985221Problem 9.11 – To compare the distribution of white-blood-cell counts of patients on the medical and surgical services in Table 2.11 when normality is not assumed what test can be used?Problem 9.12 – Perform the test in Problem 9.11 and report a p-value.Table 7.7(Eye ?) (Eye)SubjectLRSubjectLR1AP6AP2PA7AP3AP8PA4AP9AP5PA10APA= active drug P=placeboTable 7.8 – Itching scores reported by participants(Eye)SubjectLRDifference ?112-123303431424-25413623-1724-2832194401012-1Mean2.602.80-0.20sd1.171.031.55N101010Problem 7.71 –What test can be used to test the hypothesis that the mean degree of itching is the same for active vs. placebo eyes? (Refer to Tables 7.7.and 7.8)Problem 9.38 –Answer the question in Problem 7.71 using non-parametric methods.Problem 9.39 –Implement the test suggested in Problem 9.38 and report a two-sided p-value.Table 9.13(Weight change control period) – (weight change lack of consistency period) among 23 adolescent diabetic boys.i?1i?1i?11-12.69 2.217 11.52-10.310 3.518 12.23-5.911 4.819 13.94-5.412 5.420 14.25-4.513 5.821 18.06-2.714 6.022 18.67-1.815 6.723 21.78 0.316 9.6Mean =4.83sd 9.33n=23Problem 9.47 – What test can be used to compare weight change during the control period vs. weight change during the lack of consistency period in Table 9.13?Problem 9.49 – Answer the question in Problem 9.47 if we are not willing to make the assumption of normality.Problem 9.50 – Implement the test in Problem 9.49 and report a two-tailed p-value.Chapter 11 QuestionsTable 11.21 90th Percentile of SBP in boys ages 1-17 of average heightAge (x)SBP ?(y)Age (x)SBP ?(y)199101152102111173105121204107131225108141256110151277111161308112171329114Problem 11.20 – What is the predicted blood pressure for an average 13 year old boy as estimated from the regression line?Problem 11.21 – What is the standard error of the estimation in Problem 11.20?Problem 11.22 – Answer Problems 11.20 and 11.21 for a 17 year old boy.—————————————————-Table 11.23 Relationship between mean thyroxine level and gestational age among 536 premature infants.(x) Gestational age (weeks)(y) Mean thyroxine level ug/dL=24 ?6.5257.1267.0277.1287.2297.1308.1318.7329.53310.1Treated as 24 in subsequent analyses.Problem 11.49 – In Table 11.23 is there a significant association between mean thyroxine level and gestational age? Report a p value.——————————————————-A 65 year old woman with low bone density in 1992 was treated with alendronate through the year 1999. Bone density was measured irregularly over this period. The results for change in bone density are shown in Table 11.26 below.Table 11.26 Change in bone density lumbar spine over timeVisit (i)Time from baseline(months) (t)Bone density Lumbar spine (g/cm²) (x)100.797280.8063180.8174480.8255640.8376660.8417790.8868920.881Problem 11.77 – The normal change in bone density over time from age 40 to age 80 is a decrease of 0.15 g/cm². Does the rate of change in this woman differ significantly from the expected age-related change?————————————————–Table 11.31 – Longitudinal visual field for one RP patientVisitTime (yr)Visual field area(degree²)ln(visual field area)1030598.032130538.023214187.264316927.435419787.596515677.367619197.568719987.6091116487.41101317217.45111512647.14Mean6.0919387.532sd4.975970.280Problem 11.102 – What does the intercept mean in this context? What is the estimated % of decline in visual field per year?———————————————In one study 70 – 79 year old women were asked about the preschool diet of their children (ages 2-4) using a food frequency questionnaire (FFQ). A unique aspect of the study is that simultaneous diet record data exist on the same children recorded in real time by their mothers when they were ages 2-4 and their mothers were 20-40 years old. The data in Table 11.40 were available on average servings of margarine per week.Table 11.40 Margarine intake assessed by two different recording methods (servings per week (n=12])IDFFQDR3407039970.546600502005410055472.55587360570.5611213.761802.5653214.170778.5Problem 11.118 – Test the hypothesis that is true Pearson correlation (p) is significantly different from zero [provide a p-value (two-tail)].