STATS Practice Problems Assignment 2015
Query 1 of 17A pharmaceutical firm is testing the effectiveness of a brand new drug for reducing ldl cholesterol. As a part of this trial, they want to decide whether or not there's a distinction between the effectiveness for girls and for males. Assume? = Zero.05. What's the take a look at worth?GirlsMalesPattern dimension5080Imply impact76.95Pattern varianceThreefourA.t = Three.252B.t = Zero.151C.z = Zero.081D.z = Zero.455Query 2 of 17A number of myeloma or blood plasma most cancers is characterised by elevated blood vessel formulation within the bone marrow that could be a prognostic consider survival. One therapy method used for a number of myeloma is stem cell transplantation with the patient’s personal stem cells. The next knowledge symbolize the bone marrow microvessel density for a pattern of seven sufferers who had a whole response to a stem cell transplant as measured by blood and urine exams. Two measurements have been taken: the primary instantly previous to the stem cell transplant, and the second on the time of the whole response.Affected person12Threefour567Earlier than158189202353416426441After284214101227290176290What's the p-value related to the take a look at of speculation you carried out?A.p = .057493B.p = .114986C.p = .942597D.p = .885014Query Three of 17 A fiA area researcher is gathering knowledge on the trunk diameters of mature pine and spruce bushes in a sure space. The next are the outcomes of his random sampling. Can he conclude, on the .10 stage of significance, that the common trunk diameter of a pine tree is larger than the common diameter of a spruce tree?Pine bushesSpruce bushesPattern dimension4070Imply trunk diameter (cm)4539Pattern variance100150A. The info don't assist the declare as a result of the take a look at worth 1.29 is larger than 1.28.B.The info don't assist the declare as a result of the take a look at worth 1.29 is lower than 1.64.C. The info assist the declare as a result of the take a look at worth 2.78 is larger than 1.64.D.The info assist the declare as a result of the take a look at worth 2.78 is larger than 1.28.Half 2 of eight -Query four of 17In selecting the “best-fitting” line by a set of factors in linear regression, we select the one with the:A.largest variety of factors on the lineB.largest sum of squared residualsC.smallest sum of squared residualsD.smallest variety of outliersQuery 5 of 17The correlation worth ranges fromA.–2 to +2B.Zero to +1C.–1 to +1D.-Three to +ThreeQuery 6 of 17An agent for a residential actual property firm in a big metropolis would really like to have the ability to predict the month-to-month rental price of residences primarily based on the scale of the house. Information for a pattern of 25 residences in a selected neighborhood are offered within the worksheet Residences within the Excel workbook Residences.xlsx. ( The excel doc is connected)On the .05 stage of significance decide if the correlation between rental price and house dimension is critical.A.Sure, there's a statistically important linear relationship between month-to-month rental price and house dimension, as a result of the p-value for this take a look at is lower than .0001.B.Sure, there's a statistically important linear relationship between month-to-month rental price and house dimension, as a result of the pattern correlation coefficient Zero.85 exceeds Zero.50.C.Sure, there's a statistically important linear relationship between month-to-month rental price and house dimension, as a result of the t-test worth, 7.74, is larger than the important worth 1.96.D.No, there's not a statistically important linear relationship between month-to-month rental price and house dimension, as a result of the pattern correlation coefficient is lower than .95.Query 7 of 17A linear regression evaluation produces the equationy = 5.32 + (-Zero.846)xWhich of the next statements should be true?A.As x will increase, y decreases, and the correlation coefficient should be optimistic.B.As x will increase, y decreases, and the correlation coefficient should be adverse.C.As x will increase, y will increase, and the correlation coefficient should be optimistic.D.As x will increase, y will increase, and the correlation coefficient should be adverse.Query eight of 17 The advertising supervisor of a giant grocery store chain wish to use shelf house to foretell the gross sales of pet meals. For a random pattern of 12 comparable shops, she gathered the next data relating to the shelf house, in toes, dedicated to pet meals and the weekly gross sales in a whole lot of dollars.Retailer12Threefour56Shelf House555101010Weekly Gross sales1.62.21.four1.92.four2.6Retailer7eight9101112Shelf House151515202020Weekly Gross sales2.Three2.72.eight2.62.9Three.1What's the estimated regression equation?A. y^= 1.45 + Zero.724xB. y^= 2.63 - Zero.174xC.y^ = 1.45 + Zero.Zero74xD. y^= 2.63 + Zero.724xHalf Three of eight -Query 9 of 17Accepted characters: numbers, decimal level markers (interval or comma), signal indicators (-), areas (e.g., as hundreds separator, 5 000), "E" or "e" (utilized in scientific notation). NOTE: For scientific notation, a interval MUST be used because the decimal level marker. Complicated numbers needs to be within the type (a + bi) the place "a" and "b" must have explicitly said values. For instance: 1+1i is legitimate whereas will not be. Zero+9i is legitimate whereas 9i will not be.A area researcher is gathering knowledge on the trunk diameters of mature pine and spruce bushes in a sure space. The next are the outcomes of his random sampling. Can he conclude, on the Zero.10 stage of significance, that the common trunk diameter of a pine tree is larger than the common diameter of a spruce tree?Pine bushesSpruce bushesPattern dimension2030Imply trunk diameter (cm)4539Pattern variance100150What's the take a look at worth for this speculation take a look at?Take a look at worth: Spherical your reply to a few decimal locations.What's the important worth?Crucial worth: Spherical your reply to a few decimal locations.Half four of eight -Query 10 of 17Accepted characters: numbers, decimal level markers (interval or comma), signal indicators (-), areas (e.g., as hundreds separator, 5 000), "E" or "e" (utilized in scientific notation). NOTE: For scientific notation, a interval MUST be used because the decimal level marker. Complicated numbers needs to be within the type (a + bi) the place "a" and "b" must have explicitly said values. For instance: 1+1i is legitimate whereas will not be. Zero+9i is legitimate whereas 9i will not be.An organization has noticed that there's a linear relationship between oblique labor expense (ILE) , in dollars, and direct labor hours (DLH). Information for direct labor hours and oblique labor expense for 18 months are given in the file .apus.edu/entry/content material/group/science-and-technology-common/Math/LenKellyObjects/MATH302%20%20Information%20Recordsdata/ILE_and_DLH.xlsx">ILE_and_DLH.xlsx Excel Doc is connectedTreating ILE because the response variable, use regression to suit a straight line to all 18 knowledge factors. What values for the intercept (a) and slope (b) do you get hold of?Place your solutions, rounded to three decimal locations, within the blanks offered. Don't use any stray punctuation marks. For instance, 34.567 could be a professional entry.intercept (a) = slope(b) =Query 11 of 17Accepted characters: numbers, decimal level markers (interval or comma), signal indicators (-), areas (e.g., as hundreds separator, 5 000), "E" or "e" (utilized in scientific notation). NOTE: For scientific notation, a interval MUST be used because the decimal level marker. Complicated numbers needs to be within the type (a + bi) the place "a" and "b" must have explicitly said values. For instance: 1+1i is legitimate whereas will not be. Zero+9i is legitimate whereas 9i will not be. The advertising supervisor of a giant grocery store chain wish to decide the impact of shelf house (in toes) on the weekly gross sales of worldwide meals (in a whole lot of dollars). A random pattern of 12 equal –sized shops is chosen, with the next outcomes:RetailerShelf House(X)Weekly Gross sales(Y)1102.Zero2102.6Three101.eightfour152.Three5152.eight615Three.Zero7202.7eight20Three.1920Three.21025Three.Zero1125Three.Three1225Three.5Utilizing the equation of the regression line for these knowledge, predict the common weekly gross sales (in a whole lot of dollars) of worldwide meals for shops with 13 toes of shelf house for worldwide meals.Place your reply, rounded to three decimal locations , within the clean. Don't use a greenback signal. For instance, 2.345 could be a professional entry.Half 5 of eight -Query 12 of 17Accepted characters: numbers, decimal level markers (interval or comma), signal indicators (-), areas (e.g., as hundreds separator, 5 000), "E" or "e" (utilized in scientific notation). NOTE: For scientific notation, a interval MUST be used because the decimal level marker. Complicated numbers needs to be within the type (a + bi) the place "a" and "b" must have explicitly said values. For instance: 1+1i is legitimate whereas will not be. Zero+9i is legitimate whereas 9i will not be.Q-Mart is concerned with evaluating its female and male prospects. Q-Mart wish to know if the amount of cash spent by its feminine cost prospects differs, on common, from the quantity spent by its male cost prospects.To reply this query, an analyst collected random samples of 25 feminine prospects and 22 male prospects. Primarily based on these samples, on common, the 25 girls cost prospects spent $102.23 and the 22 males cost prospects spent $86.46. Furthermore, the pattern commonplace deviation of the quantity charged by the 25 girls was $93.393, and the pattern commonplace deviation of the quantity charged by the 22 males was $59.695.Suppose, utilizing a 10% stage of significance, you want to know if there's enough proof for Q-Mart to conclude that, on common, the quantity spent by girls cost prospects differs from the quantity spent by males cost prospects. That's suppose you want to take a look atH0:?W= ?Mversus H1:?W .png">?MAssuming that the quantities spent by feminine and male cost prospects at Q-Mart are usually distributed, primarily based on the process advocated by Bluman, what's/are the important values that you'd use to conduct this take a look at of speculation? Place your reply, rounded to three decimal locations, within the clean. If there are two important values, place solely the optimistic worth in the clean. For instance, 2.Zero35 could be a professional entry.Query 13 of 17Accepted characters: numbers, decimal level markers (interval or comma), signal indicators (-), areas (e.g., as hundreds separator, 5 000), "E" or "e" (utilized in scientific notation). NOTE: For scientific notation, a interval MUST be used because the decimal level marker. Complicated numbers needs to be within the type (a + bi) the place "a" and "b" must have explicitly said values. For instance: 1+1i is legitimate whereas will not be. Zero+9i is legitimate whereas 9i will not be.Two groups of employees assemble vehicle engines at a producing plant in Michigan. A random pattern of 145 assemblies from workforce 1 exhibits 15 unacceptable assemblies. The same random pattern of 125 assemblies from workforce 2 exhibits eight unacceptable assemblies.If you're concerned with figuring out if there's enough proof to conclude, on the 10% significance stage, that the 2 groups differ with respect to their proportions of unacceptable assemblies, what's the p-value related to such a take a look at of speculation?Place your reply, rounded to four decimal locations, within the clean. For instance, .0123 could be a professional entry.Half 6 of eight -Query 14 of 17Accepted characters: numbers, decimal level markers (interval or comma), signal indicators (-), areas (e.g., as hundreds separator, 5 000), "E" or "e" (utilized in scientific notation). NOTE: For scientific notation, a interval MUST be used because the decimal level marker. Complicated numbers needs to be within the type (a + bi) the place "a" and "b" must have explicitly said values. For instance: 1+1i is legitimate whereas will not be. Zero+9i is legitimate whereas 9i will not be.Researchers carried out an experiment to measure the impact of a drug on enhancing the standard of sleep as decided by what number of extra minutes of REM sleep have been measured for every participant. One group of contributors got the experimental drug; the opposite (management) group was given a placebo. Does the proof point out that the drug improved the quantity of REM sleep at a Zero.01 stage of significance? Reply every of the next elements.Experimental groupManagement grouppattern dimension3550imply sleep enchancment12.eight9.1pattern variance56.Three61.2What's the take a look at worth for this speculation take a look at?Reply: Spherical your reply to 2 decimal locations. What's the P-value for this speculation take a look at? Reply: Spherical your reply to a few decimal locations.What's the conclusion of this speculation take a look at? Select one.1. There may be enough proof to point out that the experimental drug improved the standard of sleep. 2. There may be not enough proof to point out that the experimental drug improved the standard of sleep. Three. There may be enough proof to point out that the standard of sleep is completely different for the experimental drug than for the management drug. four. There may be not enough proof to point out that the management drug decreased the standard of sleep.Reply: Enter solely a 1, 2, Three or four for your reply.Half 7 of eight -Query 15 of 17In conducting speculation testing for distinction between two means when samples are dependent (paired samples), the variable into consideration is __ D ; the pattern imply distinction between the pairs.TrueFalseHalf eight of eight -Query 16 of 17When the precise values y of a response variable and the corresponding predicted values y' are the identical, the usual error of the estimate will be zero.TrueFalseQuery 17 of 17To assist clarify or predict the response variable in each regression examine, we use a number of explanatory variables. These variables are additionally referred to as predictor variables or unbiased variables.TrueFalse