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##### APUS Math302 quiz 4

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Question;Question 1 of 17;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. Assume? = 0.05. What;is the test value?;Women;Men;Sample size;50;80;Mean effect;7;6.95;Sample variance;3;4;A.t = 3.252;B.t = 0.151;C.z = 0.081;D.z = 0.455;Question 2 of 17;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;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;Question 3 of 17;A fiA 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 do not support the;claim because the test value 1.29 is greater than 1.28.;B.The data do not support the;claim because the test value 1.29 is less than 1.64.;C. The data support the claim;because the test value 2.78 is greater than 1.64.;D.The data support the claim because the test value;2.78 is greater than 1.28.;Part;2 of 8 -;Question 4 of 17;In;choosing the ?best-fitting? line through a set of points in linear;regression, we choose the one with the;A.largest number of points on the;line;B.largest sum of squared residuals;C.smallest sum of squared residuals;D.smallest number of outliers;Question 5 of 17;The;correlation value ranges from;A.?2 to +2;B.0 to +1;C.?1 to +1;D.-3 to +3;Question 6 of 17;An agent for a;residential real estate company in a large city would like to be able to;predict the monthly rental cost of apartments based on the size of the;apartment. Data for a sample of 25 apartments in a particular;neighborhood are provided in the worksheet Apartments in the Excel workbook;Apartments.xlsx. (The excel;document is attached);At the.05 level of significance determine if the correlation between;rental cost and apartment size is significant.;A.Yes, there is a;statistically significant linear relationship between monthly rental cost;and apartment size, because the p-value for this test is less than.0001.;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 t-test value, 7.74, is greater than the critical value;1.96.;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.;Question 7 of 17;A;linear regression analysis produces the equation;y = 5.32 + (-0.846)x;Which of the following statements must be true?;A.As x increases, y decreases, and;the correlation coefficient must be positive.;B.As x increases, y decreases, and;the correlation coefficient must be negative.;C.As x increases, y increases, and;the correlation coefficient must be positive.;D.As x increases, y increases, and;the correlation coefficient must be negative.;Question 8 of 17;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;Shelf Space;15;15;15;20;20;20;Weekly Sales;2.3;2.7;2.8;2.6;2.9;3.1;What is the;estimated regression equation?;A. y^= 1.45 + 0.724x;B. y^= 2.63 - 0.174x;C.y^ = 1.45;+ 0.074x;D. y^= 2.63 + 0.724x;Part;3 of 8 -;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;20;30;Mean trunk diameter (cm);45;39;Sample variance;100;150;What is the test value for this hypothesis test?;Test value: Round your answer to three;decimal places.;What is the critical value?1.897;Critical value: Round your answer to three;decimal places. 1.282;Part;4 of 8 -;Question 10 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 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 fileILE_and_DLH.xlsx Excel Document is attached;Treating ILE as the response variable, use regression to fit a straight;line to all 18 data points. What values for the intercept;(a) and slope (b) do you obtain?;Place your answers, rounded to 3 decimal places, in the blanks;provided. Do not use any stray punctuation marks. For;example, 34.567 would be a legitimate entry.;intercept (a) = 52.182;slope(b) = 15.264;Question 11 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.;The marketing;manager of a large supermarket chain would like to determine the effect of;shelf space (in feet) on the weekly sales of international food (in;hundreds of dollars). A random sample of 12 equal ?sized stores is;selected, with the following results;Store;Shelf Space(X);Weekly Sales(Y);1;10;2.0;2;10;2.6;3;10;1.8;4;15;2.3;5;15;2.8;6;15;3.0;7;20;2.7;8;20;3.1;9;20;3.2;10;25;3.0;11;25;3.3;12;25;3.5;Using the equation of the regression line for these data, predict the;average weekly sales (in hundreds of dollars) of international food for;stores with 13 feet of shelf space for international food.;Place your answer, rounded to 3 decimal places, in the blank. Do not;use a dollar sign. For example, 2.345 would be a legitimate;entry.;Ans: 2.442;Part;5 of 8 -;Question 12 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.;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:?W=?M;versus;H1:?W?M;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. 1.682;Question 13 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.;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;p-value associated with such a test of hypothesis?;Place your answer, rounded to 4 decimal places, in the blank. For example;.0123 would be a legitimate entry. 0.2469;Part;6 of 8 -;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.;Researchers conducted an experiment to measure the effect of a drug on;improving the quality of sleep as determined by how many 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 sleep at a 0.01 level of significance? Answer each of the following;parts.;Experimental group;Control group;sample size;35;50;mean sleep improvement;12.8;9.1;sample variance;56.3;61.2;What is the test value for this hypothesis test?;Answer: Round your answer to two;decimal places.2.18;What is the P-value for this;hypothesis test?;Answer;Round your answer to three decimal places.0.016;What is the conclusion of this hypothesis test? Choose one.;1. There is sufficient evidence to show that the experimental drug;improved the quality of sleep.;2. There is not sufficient evidence to show that the experimental;drug improved the quality of sleep.;3. There is sufficient evidence to show that the quality of sleep is;different for the experimental drug than for the control drug.;4. There is not sufficient evidence to show that the control drug;decreased the quality of sleep.;Answer;Enter only a 1, 2, 3 or 4 for your answer.2;Part;7 of 8 -;Question 15 of 17;In;conducting hypothesis testing for difference between two means when samples;are dependent (paired samples), the variable under consideration is;D, the sample mean difference between the pairs.;True;False;Part;8 of 8 -;Question 16 of 17;When;the actual values y of a response variable and the corresponding;predicted values y' are the same, the standard error of the estimate will;be zero.;True;False;Question 17 of 17;To;help explain or predict the response variable in every regression study, we;use one or more explanatory variables. These variables are also called;predictor variables or independent variables.;True;False

Paper#60530 | Written in 18-Jul-2015

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