Question 1 of 171.0 PointsMultiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is aprognostic factor in survival. One treatment approach used formultiple myeloma is stem cell transplantation with the patientâsown stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a completeresponse to a stem cell transplant as measured by blood andurine tests. Two measurements were taken: the first immediatelyprior to the stem cell transplant, and the second at the time of thecomplete response.Patient Before After 1234567158189202353416426441284214101227290176290 At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow microves- sel density is higher before the stem cell transplant thanafter the stem cell transplant?A.NoB.YesC.Cannot DetermineReset SelectionQuestion 2 of 171.0 PointsMembers of the general adult population volunteer an average of4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results given inthe table below. At the .01 level of significance, is there sufficientevidence to conclude that a difference exists between the meannumber of volunteer hours per week for male and female collegestudents?FemalesMalesSample size2018Sample mean3.82.5Sample variance3.52.2A.No, because the test value 2.38 is greater than the critical valueB.No, because the test value 2.38 does not exceed the criticalvalue C.No, because the test value 2.90 is greater than the critical valueD.Yes, because the test value 2.90 is greater than the criticalvalueReset SelectionQuestion 3 of 171.0 PointsWhich of the following statements is true regarding the F â distribution?A.It is a distribution of negative valuesB.It is always skewed to the leftC.It typically appears in tests of equal proportionsD.none of the aboveReset SelectionPart 2 of 8 Question 4 of 171.0 Points An agent for a residential real estate company in a largecity would like to be able to predict the monthly rentalcost of apartments based on the size of the apartment. Data for a sample of 25 apartments in a particularneighborhood are provided in the worksheet Apartmentsin the Excel workbook Apartments.xlsx.Apartments.xlsxAt the .05 level of significance determine if the correlationbetween rental cost and apartment size is significant. A.Yes, there is a statistically significant linear relationship betweenmonthly rental cost and apartment size, because the t-test value,7.74, is greater than the critical value 1.96.B.Yes, there is a statistically significant linear relationship between monthly rental cost and apartment size, because the sample correlation coefficient 0.85 exceeds 0.50.C.Yes, there is a statistically significant linear relationship between monthly rental cost and apartment size, because the pvalue for this test is less than .0001.D.No, there is not a statistically significant linear relationship between monthly rental cost and apartment size, because the sample correlation coefficient is less than .95.Reset SelectionQuestion 5 of 171.0 PointsThe marketing manager of a large supermarket chain would liketo use shelf space to predict the sales of pet food. For a randomsample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food andthe weekly sales in hundreds of dollars. .Store Shelf Space 1234565551010 Weekly Sales 101.62.21.41.92.42.6 Store Shelf Space 789101112151515202020 Weekly Sales 2.32.72.82.62.93.1 Is the correlation between weekly sales and shelf space significant at the .01 level of significance?A.Yes, the computed t-test statistic is less than the critical value.B.Yes, the p-value of the test for significance is less than .01. C.No, the sample correlation coefficient does not exceed the critical value.D.Yes, the value of the test statistic does not exceed the critical value.Reset SelectionQuestion 6 of 171.0 PointsThe city of Oakdale wishes to see if there is a linear relationshipbetween the temperature and the amount of electricity used (inkilowatts). Based on the data in the table below, is there a significant linear relationship between temperature and the amountof electricity used? These data are also available in the worksheettemperature in the Excel workbook Temperature.xlsx.Temperature.xlsxTemperature (x) Kilowatts (y) 73788598938176105680760910151011708376001800 A.No, the sample correlation coefficient is equal to 0.098, whichdoes not provide evidence of a significant linear relationship. B.No, the sample correlation coefficient is equal to 0.981, whichdoes not provide evidence of a significant linear relationship.C.Yes, the sample correlation coefficient is equal to 0.878, whichprovides evidence of a significant linear relationship.D.Yes, the sample correlation coefficient is equal to 0.981, whichprovides evidence of a significant linear relationship.Reset SelectionQuestion 7 of 171.0 PointsThe standard error of the estimate, sest, is essentially theA.standard deviation of the explanatory variableB.standard deviation of the residualsC.mean of the residualsD.mean of the explanatory variableReset SelectionQuestion 8 of 171.0 PointsThe marketing manager of a large supermarket chain would liketo use shelf space to predict the sales of pet food. For a randomsample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food andthe weekly sales in hundreds of dollars. .Store 12345 Shelf Space 6555101010 Weekly Sales 1.62.21.41.92.42.6 Store789101112Shelf Space Weekly Sales 1515152020202.32.72.82.62.93.1 Compute the value of the sample correlation coefficient between weeklysales and shelf space. A.0.652B.0.827C.0.308D.0.684Reset SelectionPart 3 of 8 Question 9 of 172.0 PointsAccepted characters: numbers, decimal point markers (periodor 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 pointmarker.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 validwhereas {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 theresults of his random sampling. Can he conclude, at the 0.10level of significance, that the average trunk diameter of a pinetree is greater than the average diameter of a spruce tree?Pine treesSpruce treesSample size3035Mean trunk diameter (cm)45 39Sample variance120140What 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 171.0 PointsAccepted characters: numbers, decimal point markers (periodor 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 pointmarker.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 validwhereas {9i} is not.A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct laborhours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straightline to all 18 data points.Approximately what percentage of the variation in indirect labor expenses is explained by the regression model you derived? Place your answer, rounded to 1 decimal place, in the blank. Donot use any stray punctuation marks or a percentage sign. For example, 78.9 would be a legitimate entry. Question 11 of 171.0 PointsAccepted characters: numbers, decimal point markers (periodor 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 pointmarker.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 validwhereas {9i} is not.A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct laborhours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straightline to all 18 data points.Using your estimated regression output, predict the indirect labor expenses for a month in which the company has 31 direct labor hours.Place your answer, rounded to 1 decimal place, in the blank. Donot use any stray punctuation marks or a dollar sign. For example,458.9 would be a legitimate entry. Part 5 of 8 Question 12 of 171.0 Points Accepted characters: numbers, decimal point markers (periodor 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 pointmarker.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 validwhereas {9i} is not.An investor wants to compare the risks associated with two different stocks. One way to measure the risk of a given stock is tomeasure the variation in the stockâs daily price changes.In an effort to test the claim that the variance in the daily stockprice changes for stock 1 is different from the variance in thedaily stock price changes for stock 2, the investor obtains a random sample of 21 daily price changes for stock 1 and 21 dailyprice changes for stock 2.The summary statistics associated with these samples are: n 1 =21, s1 = .849, n2 = 21, s2 = .529.If you follow Bluman’s advice and place the larger variance in thenumerator, what is the test value associated with this test of hypothesis? Place your answer, rounded to 3 decimal places, in theblank. For example, 3.456 would be a legitimate entry.Question 13 of 171.0 PointsAccepted characters: numbers, decimal point markers (periodor 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 pointmarker.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 validwhereas {9i} is not.Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assembliesfrom team 1 shows 15 unacceptable assemblies. A similar randomsample of 125 assemblies from team 2 shows 8 unacceptable assemblies.If you are interested in determining if there is sufficient evidenceto conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies,what is/are the critical value you would use to conduct such a testof hypothesis?Place your answer, rounded to 2 decimal places, in the blank. Ifthere are two critical values, place only the positive value in theblank. For example, 2.34 would be a legitimate entry.Part 6 of 8 Question 14 of 173.0 PointsAccepted characters: numbers, decimal point markers (periodor 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 pointmarker.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 validwhereas {9i} is not.Researchers conducted an experiment to measure the effect of adrug on improving the quality of sleep as determined by howmany more minutes of REM sleep were measured for each participant. One group of participants were given the experimental drug; the other (control) group was given a placebo. Does the evidence indicate that the drug improved the amount of REM sleepat a 0.01 level of significance? Answer each of the following parts.Experimental groupControl groupsample size3550mean sleep improvement12.89.1sample variance56.361.2What 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 the conclusion of this hypothesis test? Choose one.1. There is sufficient evidence to show that the experimentaldrug improved the quality of sleep.2. There is not sufficient evidence to show that the experimentaldrug improved the quality of sleep.3. There is sufficient evidence to show that the quality of sleep isdifferent for the experimental drug than for the control drug.4. There is not sufficient evidence to show that the control drugdecreased the quality of sleep.Answer: Enter only a 1, 2, 3 or 4 for your answer. Part 7 of 8 – Question 15 of 171.0 PointsThe number of degrees of freedom associated with the t-test,when the data are gathered from a paired samples experimentwith 12 pairs, is 24.TrueFalseReset SelectionPart 8 of 8 Question 16 of 171.0 PointsIn a simple linear regression problem, if the coefficient of determination is 0.95, this means that 95% of the variation in the explanatory variable X can be explained by regression.TrueFalseReset SelectionQuestion 17 of 171.0 PointsWhen the actual values y of a response variable and the corresponding predicted values y’ are the same, the standard error ofthe estimate will be zero.TrueFalseReset Selection