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MATH302 QUIZ 5

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Question;Question 1 of 17 0.0/;1.0 Points;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 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 1.28.;D. The data support the claim because the test;value 2.78 is greater than 1.64.;Question 2 of 17 1.0/;1.0 Points;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.7.03;B.49.50;C.9.61;D.3.10;Question 3 of 17 1.0/;1.0 Points;Some defendants in criminal proceedings plead guilty and are;sentenced without a trial, whereas others who plead innocent are subsequently;found guilty and then are sentenced. In recent years, legal scholars have;speculated as to whether sentences of those who plead guilty differ in severity;from sentences for those who plead innocent and are subsequently judged guilty.;Consider the data given below on defendants accused of robbery, all of whom, by;the way, had previous prison records. At the.01 level of significance, do;these data suggest that the proportion of all defendants in these circumstances;who plead guilty and are sent to prison differs from the proportion who are;sent to prison after pleading innocent and being found guilty?;Plea;Guilty Not Guilty;Number judged guilty n1;= 191 n2 = 64;Number sentenced to prison x1;= 101 x2 = 56;Sample proportion.529.875;A.No, because the test value -1.96 is inside;the interval (-2.58, 2.58);B.No, because the test value -4.94 is outside;the interval (-1.96, 1.96);C.Yes, because the test value 2.58 is inside;the interval (-4.94, 4.94);D.Yes, because the test value -4.94 is outside;the interval (-2.58, 2.58);Part 2 of 8 - 5.0/;5.0 Points;Question 4 of 17 1.0/;1.0 Points;The standard error of the estimate, sest, is essentially the;A.mean of the residuals;B.standard deviation of the residuals;C.standard deviation of the explanatory;variable;D.mean of the explanatory variable;Question 5 of 17 1.0/;1.0 Points;In a simple linear regression analysis, the following sum of;squares are produced;= 500;= 100;= 400;The proportion of the variation in Y that is explained by;the variation in X is;A.80%;B.25%;C.50%;D.20%;Question 6 of 17 1.0/;1.0 Points;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. =;2.63 - 0.174x;B. =;1.45 + 0.074x;C. =;1.45 + 0.724x;D. =;2.63 + 0.724x;Question 7 of 17 1.0/;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.mutually exclusive;B.inversely related;C.highly correlated;D.directly related;Question 8 of 17 1.0/;1.0 Points;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;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 computed t-test statistic is less than the critical;value.;C.Yes, the p-value of the test for;significance is less than.01.;D.Yes, the value of the test statistic does;not exceed the critical value.;Part 3 of 8 - 0.0/;2.0 Points;Question 9 of 17 0.0/;2.0 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 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 25 35;Mean trunk diameter (cm) 55 48;Sample variance 100 140;What is the test value for this hypothesis test?;What is the critical value?;Feedback: This is a t-test of independent samples. Use the formula for the t test value on page;480;Question 10 of 17 1.0/;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.;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. Do not use any stray punctuation;marks or a percentage sign. For example;78.9 would be a legitimate entry. 95.6;Question 11 of 17 1.0/;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.;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. Do not use any stray punctuation;marks or a dollar sign. For example;458.9 would be a legitimate entry.;525.4;Part 5 of 8 - 2.0/;2.0 Points;Question 12 of 17 1.0/;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;p-value associated with such a test of hypothesis?;Question 13 of 17 1.0/;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?;Part 6 of 8 - 1.0/;3.0 Points;Question 14 of 17 1.0/;3.0 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 professor gives an exam for which there are two versions;A and B. Each student in the class is;given one randomly selected version of the exam. After the exam, the professor wishes to;determine if there is a difference in the level of difficulty of the two;versions by determining if there is a significant difference in the mean;scores. Assume? = 0.05.;Version A Version B;Sample size 45 65;Mean score 8.8 8.2;Sample variance 2.6 2.4;What is the test value for this hypothesis test?;What is/are the critical value(s) for this hypothesis;test? If there are two critical values;give only the positive value.;What is the conclusion for this hypothesis test? Choose one.;1;Part 7 of 8 - 1.0/;1.0 Points;Question 15 of 17 1.0/;1.0 Points;When testing the equality of two population variances, the;test statistic is the ratio of the population variances, namely.;True;False;Part 8 of 8 - 2.0/;2.0 Points;Question 16 of 17 1.0/;1.0 Points;In a simple linear regression problem, the least squares;line is y' = -3.2 + 1.3X, and the coefficient of determination is 0.7225. The;coefficient of correlation must be ?0.85.;True;False;Question 17 of 17 1.0/;1.0 Points;In 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.;True;False

 

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