1 of 17 1.0 Points Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money spent by its female charge customers differs, on average, from the amount spent by its male charge customers. To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the sample standard deviation of the amount charged by the 22 men was $59.695. Using the procedure advocated by Bluman, at the 10% level of significance, is there sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women charge customers differs from the amount spent by men charge customers. A.Yes, the test value does not exceed the critical value B.Yes, the p-value of this test is greater than 0.10 C.No, the test value does not exceed the critical value. D.No, the p-value of this test is less than 0.10. Reset Selection Question 2 of 17 1.0 Points An investor wants to compare the risks associated with two different stocks. One way to measure the risk of a given stock is to measure the variation in the stock's daily price changes. In an effort to test the claim that the variance in the daily stock price changes for stock 1 is different from the variance in the daily stock price changes for stock 2, the investor obtains a random sample of 21 daily price changes for stock 1 and 21 daily price changes for stock 2. The summary statistics associated with these samples are: n1 = 21, s1 = .725, n2 = 21, s2 = .529. If you compute the test value by placing the larger variance in the numerator, at the .05 level of significance, would you conclude that the risks associated with these two stocks are different? A.No, the test value of 1.371 does not exceed the critical value of 2.12 B.Yes, the p-value associated with this test is 0.0264 C.No, the p-value associated with this test is 0.0528 D.No, the test value of 1.879 does not exceed the critical value of 2.46 Reset Selection Question 3 of 17 1.0 Points Which of the following statements is true regarding the F - distribution? A.It is a distribution of negative values B.It is always skewed to the left C.It typically appears in tests of equal proportions D.none of the above Reset Selection Part 2 of 8 Question 4 of 17 In a simple linear regression analysis, the following sum of squares are produced: 1.0 Points = 400 = 80 = 320 The proportion of the variation in Y that is explained by the variation in X is: A.50% B.20% C.25% D.80% Reset Selection Question 5 of 17 The standard error of the estimate, sest, is essentially the A.standard deviation of the residuals B.standard deviation of the explanatory variable C.mean of the residuals D.mean of the explanatory variable Reset Selection 1.0 Points Question 6 of 17 1.0 Points The correlation value ranges from A.-1 to +1 B.-3 to +3 C.-2 to +2 D.0 to +1 Reset Selection Question 7 of 17 1.0 Points A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are: A.highly correlated B.inversely related C.directly related D.mutually exclusive Reset Selection Question 8 of 17 Outliers are observations that A.disrupt the entire linear trend 1.0 Points B.lie outside the typical pattern of points C.render the study useless D.lie outside the sample Reset Selection Part 3 of 8 2.0 Points Question 9 of 17 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 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 0.10 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 30 35 Mean trunk diameter (cm) 45 39 Sample variance 120 140 What is the test value for this hypothesis test? Test value: Round your answer to three decimal places. What is the critical value? Critical value: Round your answer to three decimal places. Part 4 of 8 Question 10 of 17 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Data for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Using the estimated regression equation found by using size as the predictor variable, find a point estimate for the average monthly rent for apartments having 1,000 square feet of space. Place your answer, rounded to the nearest whole dollar, in the blank. When entering your answer do not use any labels or symbols. Simply provide the numerical value. For example, 123 would be a legitimate entry. Apartments.xlsx Question 11 of 17 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsx Treating ILE as the response variable, use regression to fit a straight line to all 18 data points. Based on your results, If direct labor hours (DLH) increases by one hour, the indirect labor expense (ILE), on average, increases by approximately how much? Place your answer, rounded to 2 decimal places, in the blank. Do not use any stray punctuation marks or a dollar sign. For example, 34.56 would be a legitimate entry. Part 5 of 8 Question 12 of 17 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies. If you are interested in determining if there is sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies, what is the test value you would use to conduct such a test of hypothesis? Place your answer, rounded to 2 decimal places, in the blank. For example, 2.34 would be a legitimate entry. Question 13 of 17 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money spent by its female charge customers differs, on average, from the amount spent by its male charge customers. To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the sample standard deviation of the amount charged by the 22 men was $59.695. Suppose, using a 10% level of significance, you wish to know if there is sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women charge customers differs from the amount spent by men charge customers. That is suppose you wish to test H0: versus H1: Assuming that the amounts spent by female and male charge customers at Q-Mart are normally distributed, based on the procedure advocated by Bluman, what is/are the critical values that you would use to conduct this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. If there are two critical values, place only the positive value in the blank. For example, 2.035 would be a legitimate entry. Part 6 of 8 3.0 Points Question 14 of 17 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A special coating is applied to several scale model engine nacelle body shapes to determine if it reduces the drag coefficient. The following data are the drag coefficient before the coating is applied and after. Model Before After #1 0.782 0.668 #2 0.656 0.581 #3 0.541 0.532 #4 0.250 0.241 #5 0.323 0.334 #6 0.888 0.891 Perform a hypothesis test to determine if there is evidence at the 0.05 level of significance to support the claim that the coating reduces the drag coefficient. What is the test value for this hypothesis test? Answer: Round your answer to two decimal places. What is the P-value for this hypothesis test? Answer: Round your answer to three decimal places. What is your conclusion for this test? Choose one. 1. 2. 3. 4. There is sufficient evidence to show the coating reduces the drag coefficient. There is not sufficient evidence to show that the coating reduces the drag coefficient. There is sufficient evidence to show that the drag coefficient changed after the coating was applied. There is sufficient evidence to show that the drag coefficient increased after the coating was applied. Answer: Enter only a 1, 2, 3 or 4 for your answer. Part 7 of 8 Question 15 of 17 1.0 Points In conducting hypothesis testing for difference between two means when samples are dependent (paired samples), the variable under consideration is ; the sample mean difference between the pairs. True False Reset Selection Part 8 of 8 Question 16 of 17 1.0 Points If there is no linear relationship between two variables X and Y, the coefficient of determination, R 2, must be True 1.0. False Reset Selection Question 17 of 17 1.0 Points In simple linear regression analysis, the relationship between the response variable Y and the explanatory variable X is a straight line. This means that all data points lie on the line. True False Reset Selection DLH(X) 20 25 22 23 20 19 24 28 26 29 27 25 28 32 35 34 30 36 ILE(Y) 361 400 376 384 361 360 427.2 458.4 450.8 475.2 462.6 445 511 550.8 587.8 574.1 535.4 591.5 Apartments Rent 950 1600 1200 1500 950 1700 1650 935 875 1150 1400 1650 2300 1800 1400 1450 1100 1700 1200 1150 1600 1650 1200 800 1750 Size 850 1450 1085 1232 718 1485 1136 726 700 956 1100 1285 1985 1369 1175 1225 1245 1259 1150 896 1361 1040 755 1000 1200 Page 1