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Statistical Methods and Hypothesis Testing in Business and Healthcare Research

A study applying statistical methods and hypothesis testing in business and healthcare research.

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    Statistical Methods and Hypothesis Testing in Business and Healthcare Research Question 1 of 17 1.0 Points Some defendants in criminal proceedings plead guilty and are sentenced without a trial, whereas others who plead innocent are subsequently found guilty and then are sentenced. In recent years, legal scholars have speculated as to whether sentences of those who plead guilty differ in severity from sentences for those who plead innocent and are subsequently judged guilty. Consider the data given below on defendants accused of robbery, all of whom, by the way, had previous prison records. At the .01 level of significance, do these data suggest that the proportion of all defendants in these circumstances who plead guilty and are sent to prison differs from the proportion who are sent to prison after pleading innocent and being found guilty? Plea Guilty Not Guilty Number judged guilty n 1 = 191 n 2 = 64 Number sentenced to prison x 1 = 101 x 2 = 56 Sample proportion .529 .875 A.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 the test value - 4.94 is outside the interval ( - 1.96, 1.96) Reset Selection Question 2 of 17 1.0 Points Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Patient 1 2 3 4 5 6 7 Before 158 189 202 353 416 426 441 After 284 214 101 227 290 176 290

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    Perform an appropriate test of hypothesis to determine if there is evidence, at the .05 level of significance, to support the claim that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? What is the value of the sample test statistic? A.p = 2.7234 B.z = 1.8424 C.t = 2.7234 D.t = 1.8424 Reset Selection Question 3 of 17 1.0 Points A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the variation of the amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business lunches was $0.87. What is the test value? A.9.61 B.7.03 C.3.10 D.49.50 Reset Selection Part 2 of 8 - Question 4 of 17 1.0 Points The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store 1 2 3 4 5 6 Shelf Space 5 5 5 10 10 10 Weekly Sales 1.6 2.2 1.4 1.9 2.4 2.6 Store 7 8 9 10 11 12

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    Shelf Space 15 15 15 20 20 20 Weekly Sales 2.3 2.7 2.8 2.6 2.9 3.1 Compute the value of the sample correlation coefficient between weekly sales and shelf space. A.0.827 B.0.652 C.0.684 D.0.308 Reset Selection Question 5 of 17 1.0 Points In a simple linear regression analysis, the following sum of squares are produced: = 400 = 80 = 320 The proportion of the variation in Y that is explained by the variation in X is: A.80% B.50% C.20% D.25% Reset Selection Question 6 of 17 1.0 Points The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Based on the data in the table below, is there a significant linear relationship between temperature and the amount of electricity used? These data are also available in the worksheet temperature in the Excel workbook Temperature.xlsx. Temperature.xlsx Temperature (x) 73 78 85 98 93 81 76 105

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