Statistical Methods and Hypothesis Testing in Business and Healthcare Research

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Statistical Methods and Hypothesis Testing in Business and HealthcareResearchQuestion 1 of 171.0 PointsSome defendants in criminal proceedings plead guilty and are sentenced without a trial, whereasothers who plead innocent aresubsequently found guilty and then are sentenced.In recent years,legal scholars have speculated as to whether sentences of those who plead guilty differ inseverity from sentences for those who plead innocent and are subsequently judgedguilty.Consider the data given below on defendants accused of robbery, all of whom, by theway, had previous prison records.At the .01 level of significance, do these data suggest that theproportion of all defendants in these circumstances who plead guilty and are sentto prisondiffers from the proportion who are sent to prison after pleading innocent and being foundguilty?PleaGuiltyNot GuiltyNumber judged guiltyn1= 191n2= 64Number sentenced to prisonx1= 101x2= 56Sample proportion.529.875A.No, because the test value-1.96 is inside the interval (-2.58, 2.58)B.Yes, because the test value 2.58 is inside the interval (-4.94, 4.94)C.Yes, because the test value-4.94 is outside the interval (-2.58, 2.58)D.No, because thetest value-4.94 is outside the interval (-1.96, 1.96)Reset SelectionQuestion 2 of 171.0 PointsMultiple myeloma or blood plasma cancer is characterized by increased blood vesselformulation in the bone marrow that is a prognostic factor in survival.One treatment approachused for multiple myeloma is stem cell transplantation with the patient’s own stem cells.Thefollowing data represent the bone marrow microvessel density for a sample of 7 patients whohad a complete response to a stem cell transplant as measured by blood and urine tests.Twomeasurements were taken:the first immediately prior tothe stem cell transplant, and the secondat the time of the complete response.Patient1234567Before158189202353416426441After284214101227290176290

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Perform an appropriate test of hypothesis to determine if there is evidence, at the .05 level ofsignificance, to support the claim that the mean bone marrow microvessel density is higherbefore the stem cell transplant than after the stem cell transplant?What is the value of thesample test statistic?A.p = 2.7234B.z = 1.8424C.t = 2.7234D.t = 1.8424Reset SelectionQuestion 3 of 171.0 PointsA researcher hypothesizes that the variation in the amount of money spent on business dinnersis greater than the variation of the amount of money spent on lunches.The variance of ninebusiness dinners was $6.12 and the variance of 12 business lunches was $0.87.What is the testvalue?A.9.61B.7.03C.3.10D.49.50Reset SelectionPart 2 of 8-Question 4 of 171.0 PointsThe marketing manager of a largesupermarket chain would like to use shelf space to predict thesales of pet food.For a random sample of 12 similar stores, she gathered the followinginformation regarding the shelf space, in feet, devoted to pet food and the weekly sales inhundreds of dollars..Store123456Shelf Space555101010Weekly Sales1.62.21.41.92.42.6Store789101112

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Shelf Space151515202020Weekly Sales2.32.72.82.62.93.1Compute the value of the sample correlationcoefficient between weekly sales and shelf space.A.0.827B.0.652C.0.684D.0.308Reset SelectionQuestion 5 of 171.0 PointsIn a simple linear regression analysis, thefollowing sum of squares are produced:= 400= 80= 320The proportion of the variation inYthat is explained by the variation inXis:A.80%B.50%C.20%D.25%Reset SelectionQuestion 6 of 171.0 PointsThe city of Oakdale wishes to see if there is alinear relationship between the temperature and theamount of electricity used (in kilowatts).Based on the data in the table below, is there asignificant linear relationship between temperature and the amount of electricity used?Thesedata are also available in the worksheet temperature in the Excel workbook Temperature.xlsx.Temperature.xlsxTemperature (x)73788598938176105

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