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1. A pharmaceutical company is testing the effecti...

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1. A pharmaceutical company is testing the effectiveness of a new drug for lowering cholesterol. As part of this trial, they wish to determine whether there is a difference between the effectiveness for women and for men. At = .05, what is the value the test statistic? Women Men Sample size 50 80 Mean effect 7 6.95 Sample variance 3 4 A. t = 3.252 B. z = 0.455 C. z = 0.081 D. z = 0.151 2. A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at the .10 level of significance, that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree? Pine trees Spruce trees Sample size 40 70 Mean trunk diameter (cm) 45 39 Sample variance 100 150 A. The data does not support the claim because the test value 1.29 is greater than 1.28. B. The data supports the claim because the test value 2.78 is greater than 1.28. C. The data supports the claim because the test value 2.78 is greater than 1.64. D. The data does not support the claim because the test value 1.29 is less than 1.64. 3. 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. 3.10 B. 9.61 C. 49.50 D. 7.03 4. Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results given in the table below. At the .01 level of significance, is there sufficient evidence to conclude that a difference exists between the mean number of volunteer hours per week for male and female college students? Females Males Sample size 20 18 Sample mean 3.8 2.5 Sample variance 3.5 2.2 A. No, because the test value 2.38 is greater than the critical value B. No, because the test value 2.38 does not exceed the critical value C. No, because the test value 2.90 is greater than the critical value D. Yes, because the test value 2.90 is greater than the critical value Consider the following scenario in answering questions 5 through 7. 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. Use these data to answer questions 5 through 7. Patient 1 2 3 4 5 6 7 Before 158 189 202 353 416 426 441 After 284 214 101 227 290 176 290 5. 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. z = 1.8424 B. t = 1.8424 C. t = 2.7234 D. p = 2.7234 6. What is the p-value associated with the test of hypothesis you conducted? A. p = .057493 B. p = .114986 C. p = .942597 D. p = .885014 7. At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? A. No B. Yes C. It is impossible to determine 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. Use these data to answer questions 8 through 10. 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 Shelf Space 15 15 15 20 20 20 Weekly Sales 2.3 2.7 2.8 2.6 2.9 3.1 8. Compute the value of the sample correlation coefficient between weekly sales and shelf space. A. 0.684 B. 0.827 C. 0.652 D. 0.308 9. Is the correlation between weekly sales and shelf space significant at the .01 level of significance? A. No, the sample correlation coefficient does not exceed the critical value. B. Yes, the p-value of the test for significance is less than .01. C. Yes, the value of the test statistic does not exceed the critical value. D. Yes, the computed t-test statistic is less than the critical value. 10. What is the estimated regression equation? A. = 2.63 + 0.724x B. = 1.45 + 0.724x C. = 1.45 + 0.074x D. = 2.63 - 0.174x

 

Paper#13505 | Written in 18-Jul-2015

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