10-84. O An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273–279) considered arthro- scopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 18 (78%) repairs were successful, but for shorter tears, 22 of 30 (73%) repairs were successful. (a) Is there evidence that the success rate is greater for longer tears? Use a = 0.005. What is the P-value? (b) Calculate a one-sided 95% confidence bound on the differ- ence in proportions that can be used to answer the question in part (a).
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- An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results and surgical technique," (2005, Vol. 13, pp. 273-279) cites a success rate of 1% for meniscal tears with a rim width of less than 3 mm, and a 1% success rate for tears from 3-6 mm. If you are unlucky enough to suffer a meniscal tear of less than 3 mm on your left knee, and one of width 3-6 mm on your right knee, what is the probability that you have exactly one successful surgery? assume surgieries are independent.An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279) considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 18 (78%) repairs were successful, but for shorter tears, 22 of 30 (73%) repairs were successful. A doctor would like to know if there is evidence that the success rate is greater for longer tears. The P-value for the test H0: p1 = p2 versus H1: p1 > p2 is closest to:The article “Differences in Susceptibilities of Different Cell Lines to Bilirubin Damage” (K. Ngai, C. Yeung, and C. Leung, Journal of Paediatric Child Health, 2000:36–45) reports an investigation into the toxicity of bilirubin on several cell lines. Ten sets of human liver cells and 10 sets of mouse fibroblast cells were placed into solutions of bilirubin in albumin with a 1.4 bilirubin/albumin molar ratio for 24 hours. In the 10 sets of human liver cells, the average percentage of cells surviving was 53.9 with a standard deviation of 10.7. In the 10 sets of mouse fibroblast cells, the average percentage of cells surviving was 73.1 with a standard deviation of 9.1. Find a 98% confidence interval for the difference in survival percentages between the two cell lines.
- Car owner: Collect data in the following table about foreign cars and local cars through customers whose age is under 30 years, at 30 years and over 30 years at a significant degree of 1%. The hypothesis says that the type of car purchased, foreign or local, is not related to the buyers' ages (independence)?An article in the Journal of the Electrochemical Society (Vol. 139, No. 2, 1992, pp. 524–532) describes anexperiment to investigate the low-pressure vapor deposition of polysilicon. The experiment was carried outin a large-capacity reactor at Sematech in Austin, Texas. The reactor has several wafer positions, and fourof these positions are selected at random. The response variable is film thickness uniformity. Threereplicates of the experiment were run, and the data are as follows:a. Test the significance of these wafer position with α=0.05.b. If proven significant, perform a multiple comparison method using Fisher’s LSD.Stressed-Out Bus Drivers. Previous studies have shown that urban bus drivers have an extremely stressful job, and a large proportion of drivers retire prematurely with disabilities due to occupational stress. In the paper, “Hassles on the Job: A Study of a Job Intervention With Urban Bus Drivers” (Journal of Organizational Behavior, Vol. 20, pp. 199–208), G. Evans et al. examined the effects of an intervention program to improve the conditions of urban bus drivers.Amongother variables, the researchers monitored diastolic blood pressure of bus drivers in downtown Stockholm, Sweden. The data, in millimeters of mercury (mm Hg), on the WeissStats site are based on the blood pressures obtained prior to intervention for the 41 bus drivers in the study. Use the technology of your choice to do the following. a. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data. b. Based on your results from part (a), can you reasonably apply the one-mean t-test to the…
- Biostatistics Outpatients (N = 36) with type 2 diabetes were referred back to the hospital because of the risk of developing chronic kidney disease (CKD) (possible kidney failure). During their follow-up, some patients were diagnosed with advanced (or end-stage) CKD, requiring an extension of their stay in the hospital, while others were readmitted for further medical assessment. Throughout the study, mortality and hospitalization rates, as well as bio-chemical lab test results, were reported. In addition, the attached data slice contains additional demographic data about the patient group. Q1: Write demographic and lifestyle summary with appropriate statistical tools of descriptive statistics that include Age(years), Gender, Level of deprivation [Townsend or socio-economical status SES], and Marital status.Biostatistics Outpatients (N = 36) with type 2 diabetes were referred back to the hospital because of the risk of developing chronic kidney disease (CKD) (possible kidney failure). During their follow-up, some patients were diagnosed with advanced (or end-stage) CKD, requiring an extension of their stay in the hospital, while others were readmitted for further medical assessment. Throughout the study, mortality and hospitalization rates, as well as bio-chemical lab test results, were reported. In addition, the attached data slice contains additional demographic data about the patient group. Q2: Write a statistical summary for patients’ health status that include Smoking status, Glucose level (mmol/L), C-reactive protein (CRP) (mg/L), Blood urea (mmol/L), Serum creatinine (μmol/L), and Albumin level (g/L).A law enforcement agent believes that more than 88% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 60 drivers who were stopped for speeding on a Saturday night were taken and 54 of the drivers in the sample were under the influence of alcohol. Question 17State the null and alternative hypotheses. Question 18Determine the critical value and rejection region (rounded off to three decimals).
- The article “Withdrawal Strength of Threaded Nails” (D. Rammer, S. Winistorfer, and D. Bender, Journal of Structural Engineering 2001:442–449) describes an experiment comparing the ultimate withdrawal strengths (in N/mm) for several types of nails. For an annularly threaded nail with shank diameter 3.76 mm driven into spruce-pine-fir lumber, the ultimate withdrawal strength was modeled as lognormal with μ = 3.82 and σ = 0.219. For a helically threaded nail under the same conditions, the strength was modeled as lognormal with μ = 3.47 and σ = 0.272. a) What is the mean withdrawal strength for annularly threaded nails? b) What is the mean withdrawal strength for helically threaded nails? c) For which type of nail is it more probable that the withdrawal strength will be greater than 50 N/mm? d) What is the probability that a helically threaded nail will have a greater withdrawal strength than the median for annularly threaded nails? e) An experiment is performed in which withdrawal…A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded MaleDriver FemaleDriver 1.3 -0.1 1.3 0.4 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use μmales − μfemales.Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to…The article “Hydrogeochemical Characteristics of Groundwater in a Mid-Western CoastalAquifer System” (S. Jeen, J. Kim, et al., Geosciences Journal, 2001:339–348) presentsmeasurements of various properties of shallow groundwater in a certain aquifer system inKorea. Following are measurements of electrical conductivity (in microsiemens percentimeter) for 23 water samples.2099 528 2030 1350 1018 384 14991265 375 424 789 810 522 513488 200 215 486 257 557 260461 500Find the mean.Find the standard deviation.Find the median.Construct a dotplot.Find the 10% trimmed mean.Find the first quartile.Find the third quartile.Find the interquartile range.Construct a boxplot.Which of the points, if any, are outliers?If a histogram were constructed, would it be skewed to the left, skewed to the right, orapproximately symmetric?