If a particular batch of data is approximately normally distributed, we would find that approximately2 of every 3 observations would fall between +/- 1 standard deviation around the mean.4 of every 5 observations would fall between +/- 1.28 standard deviations around the mean.19 of every 20 observations would fall between +/- 2 standard deviations around the mean.All the above.Question 6Suppose a 98% confidence interval for ? turns out to be (1000, 2100). If this interval was based on a sample of size n=25 explain what assumptions are necessary for this interval to be valid.The sampling distribution of the sample mean must have a normal distribution.The population must have an approximately normal distribution.The sampling distribution must be biased with 24 degrees of freedom.The population of salaries must have an approximate t distribution.Question 7The mean age of professors at a university is over 55.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?There is sufficient evidence to reject the claim ? > 55.3.There is not sufficient evidence to reject the claim ? > 55.3.There is sufficient evidence to support the claim ? > 55.3.There is not sufficient evidence to support the claim ? > 55.3Question 8Suppose a 95% confidence interval for ? turns out to be ( 100, 230). To make more useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width?Increase the sample size and decrease the confidence level.Decrease the confidence level.Increase the sample size.Question 101. The level of significance, ?, is the probability of making aCorrect decisionType I errorType II errorType ? errorAll of these..Question 111. The ___________the R2, and the __________ the standard error, the stronger the relationship between the dependent variable and the independent variable.Higher, higherHigher, lowerLower, higherLower, lower5 pointsQuestion 121. The intercept (b0) representsthe estimated average change in Y per unit change in X.the predicted value of Y.variation around the line of regression.predicted value of Y when X = 0.5 pointsQuestion 131. The results of a survey about a recent judicial appointment are given in the table below. Describe, in detail, what a relative frequency histogram would look like. What are the labels on each axis? What are the values on the y-axis?ResponseFrequencyStrongly Favor30Favor15Neutral38Oppose13Strongly Oppose1042.Question 141. Find the standard deviation of the following sample:15161718192.001.411.581.5015 pointsQuestion 151. Find P( -1.26 ? Z ? 0.47 )0.53180.57700.46820.42305 pointsQuestion 161. Find P( Z ? 3.02)0.49870.97880.99870.00135 pointsQuestion 171. Find z.20.0.42-1.280.840.255 pointsQuestion 181. You are offered a choice where you can take a certain amount of $ 20 or partake in a gamble, where you put up $30 and have a 50% chance of winning $50 and 50% chance of winning $10. The decision tree is drawn for you. What is the expected value at node 2?Press Tab to enter the content editor. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Content EditorUse arrow keys to select functionsBoldItalicUnderline— Font family —Andale MonoArialArial BlackBook AntiquaComic Sans MSCourier NewGeorgiaHelveticaImpactSymbolTahomaTerminalTimes New RomanTrebuchet MSVerdanaWebdingsWingdingsFont family— Font size —1 (8pt)2 (10pt)3 (12pt)4 (14pt)5 (18pt)6 (24pt)7 (36pt)Font sizeText Color?Bullet List?Number List?Toggle Spell Checker?Insert/Edit LinkRemove LinkBoldItalicUnderlineStrikethrough— Format —HeadingSub Heading 1Sub Heading 2ParagraphFormatted CodeFormat— Font family —Font family— Font size —Font sizeBullet ListNumber ListText Color?Highlight?Remove FormattingCutCopyPasteFindUndoRedoAlign LeftAlign CenterAlign RightAlign FullIndentOutdentSuperscriptSubscriptInsert/Edit LinkRemove LinkDirection Left to RightDirection Right to LeftLineHorizontal RuleInsert Nonbreaking Space CharacterToggle Spell CheckerLaunch Math EditorInsert Mashup?Show Nonprinting CharactersBlockquoteSymbolEmotionsAnchorInsert/Edit TableTable Row PropertiesTable Cell PropertiesInsert Row BeforeInsert Row AfterDelete RowInsert Column BeforeInsert Column AfterDelete ColumnMerge Table CellsSplit Merged Table CellsHTML Code ViewEdit CSS StylePreviewHelpFull ScreenShow MorePath:Words:0Question 191. You are offered a choice where you can take a certain amount of $ 20 or partake in a gamble, where you put up $30 and have a 50% chance of winning $50 and 50% chance of winning $10. The decision tree is drawn for you. What should you do–take the $20 or gamble?Press Tab to enter the content editor. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Content EditorUse arrow keys to select functionsBoldItalicUnderline— Font family —Andale MonoArialArial BlackBook AntiquaComic Sans MSCourier NewGeorgiaHelveticaImpactSymbolTahomaTerminalTimes New RomanTrebuchet MSVerdanaWebdingsWingdingsFont family— Font size —1 (8pt)2 (10pt)3 (12pt)4 (14pt)5 (18pt)6 (24pt)7 (36pt)Font sizeText Color?Bullet List?Number List?Toggle Spell Checker?Insert/Edit LinkRemove LinkBoldItalicUnderlineStrikethrough— Format —HeadingSub Heading 1Sub Heading 2ParagraphFormatted CodeFormat— Font family —Font family— Font size —Font sizeBullet ListNumber ListText Color?Highlight?Remove FormattingCutCopyPasteFindUndoRedoAlign LeftAlign CenterAlign RightAlign FullIndentOutdentSuperscriptSubscriptInsert/Edit LinkRemove LinkDirection Left to RightDirection Right to LeftLineHorizontal RuleInsert Nonbreaking Space CharacterToggle Spell CheckerLaunch Math EditorInsert Mashup?Show Nonprinting CharactersBlockquoteSymbolEmotionsAnchorInsert/Edit TableTable Row PropertiesTable Cell PropertiesInsert Row BeforeInsert Row AfterDelete RowInsert Column BeforeInsert Column AfterDelete ColumnMerge Table CellsSplit Merged Table CellsHTML Code ViewEdit CSS StylePreviewHelpFull ScreenShow MorePath:Words:0Question 201. You are offered a choice where you can take a certain amount of $ 20 or partake in a gamble, where you put up $30 and have a 50% chance of winning $50 and 50% chance of winning $10. The decision tree is drawn for you. How much should you expect to make?Press Tab to enter the content editor. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Content EditorUse arrow keys to select functionsBoldItalicUnderline— Font family —Andale MonoArialArial BlackBook AntiquaComic Sans MSCourier NewGeorgiaHelveticaImpactSymbolTahomaTerminalTimes New RomanTrebuchet MSVerdanaWebdingsWingdingsFont family— Font size —1 (8pt)2 (10pt)3 (12pt)4 (14pt)5 (18pt)6 (24pt)7 (36pt)Font sizeText Color?Bullet List?Number List?Toggle Spell Checker?Insert/Edit LinkRemove LinkBoldItalicUnderlineStrikethrough— Format —HeadingSub Heading 1Sub Heading 2ParagraphFormatted CodeFormat— Font family —Font family— Font size —Font sizeBullet ListNumber ListText Color?Highlight?Remove FormattingCutCopyPasteFindUndoRedoAlign LeftAlign CenterAlign RightAlign FullIndentOutdentSuperscriptSubscriptInsert/Edit LinkRemove LinkDirection Left to RightDirection Right to LeftLineHorizontal RuleInsert Nonbreaking Space CharacterToggle Spell CheckerLaunch Math EditorInsert Mashup?Show Nonprinting CharactersBlockquoteSymbolEmotionsAnchorInsert/Edit TableTable Row PropertiesTable Cell PropertiesInsert Row BeforeInsert Row AfterDelete RowInsert Column BeforeInsert Column AfterDelete ColumnMerge Table CellsSplit Merged Table CellsHTML Code ViewEdit CSS StylePreviewHelpFull ScreenShow MorePath:Words:0Question 211. A researcher wants to estimate the average price of television sets sold at Wal-Mart. It is assumed from previous studies that ? = 45. To estimate the average price within $10 with 95% confidence, what sample size should be used?All that is needed is the answer. However, if you would like the possibility of partial credit, show me your work. (Don’t worry about formatting or symbols.)Question 221. Customers at Ingles have a choice when paying for their groceries. They may check out and pay using the standard cashier assisted checkout, or they may use a new U-Scan procedure. In the standard procedure an Ingles employee scans each item and another employee puts it in a bag and then into the grocery cart. In the U-Scan procedure the customer scans each item, bags it, and places the bags in the cart themselves. The U-Scan procedure is designed to reduce the time a customer spends in the check out line. The store manger wants to know if the mean checkout time using the standard checkout method is longer than using the U-Scan. She gathered the following sample information. The time is measured from when the customer enters the line until their bags are in the cart. Hence the time includes both waiting in line and checking out.Mean (minutes) Standard deviation (minutes) Sample SizeStandard 5.5 0.4 50U-Scan 5.3 0.3 100What are the null and alternative hypotheses that management would be testing? (Don’t worry about formatting your answer.)Question 231. Customers at Ingles have a choice when paying for their groceries. They may check out and pay using the standard cashier assisted checkout, or they may use a new U-Scan procedure. In the standard procedure an Ingles employee scans each item and another employee puts it in a bag and then into the grocery cart. In the U-Scan procedure the customer scans each item, bags it, and places the bags in the cart themselves. The U-Scan procedure is designed to reduce the time a customer spends in the check out line. The store manger wants to know if the mean checkout time using the standard checkout method is longer than using the U-Scan. She gathered the following sample information. The time is measured from when the customer enters the line until their bags are in the cart. Hence the time includes both waiting in line and checking out.Mean (minutes) Standard deviation (minutes) Sample SizeStandard 5.5 0.4 50U-Scan 5.3 0.3 100If ? = .05 and if the Excel output shows that p-value = 0.0013, would you reject Ho? Why or why not?Question 241. Customers at Ingles have a choice when paying for their groceries. They may check out and pay using the standard cashier assisted checkout, or they may use a new U-Scan procedure. In the standard procedure an Ingles employee scans each item and another employee puts it in a bag and then into the grocery cart. In the U-Scan procedure the customer scans each item, bags it, and places the bags in the cart themselves. The U-Scan procedure is designed to reduce the time a customer spends in the check out line. The store manger wants to know if the mean checkout time using the standard checkout method is longer than using the U-Scan. She gathered the following sample information. The time is measured from when the customer enters the line until their bags are in the cart. Hence the time includes both waiting in line and checking out.Mean (minutes) Standard deviation (minutes) Sample SizeStandard 5.5 0.4 50U-Scan 5.3 0.3 100Can we conclude that the U-Scan system is better than the standard checkout?Question 251. The following data represent the age of batteries (in hours) for a random sample of 10 full charges on a fifth generation iPod music player:7.310.212.910.812.16.610.298.57.12.The following Excel output was obtained. What is the point estimate of the population mean?3.hoursMean9.47Standard Error0.676929Median9.6Mode10.2Standard Deviation2.140639Sample Variance4.582333Kurtosis-1.09156Skewness0.190992Range6.3Minimum6.6Maximum12.9Sum94.7Count10Confidence Level(95.0%)Question 261. The following data represent the age of batteries (in hours) for a random sample of 10 full charges on a fifth generation iPod music player:7.310.212.910.812.16.610.298.57.12.The following Excel output was obtained. Construct a 95% confidence interval for the mean number of hours the batteries will last in the player.3.hoursMean9.47Standard Error0.676929Median9.6Mode10.2Standard Deviation2.140639Sample Variance4.582333Kurtosis-1.09156Skewness0.190992Range6.3Minimum6.6Maximum12.9Sum94.7Count10Confidence Level(95.0%)1.531321Question 271. A sample of scores on an examination given in two different classes is examined. The following Excel output was obtained. Use ? = .05. In order to determine if Class 2 has a different grade from Class 1, what are the null and alternative hypotheses?t-Test: Two-Sample Assuming Unequal Variancesclass 1class 2Mean7879Variance9047.333Observations97Hypothesized Mean Difference0df14t Stat-0.244P(T<=t) one-tail0.405t Critical one-tail1.761P(T<=t) two-tail0.811t Critical two-tail2.145Question 281. A sample of scores on an examination given in two different classes is examined. The following Excel output was obtained. Use ? = .05. Exactly what p-value did you use to answer to determine if Class 2 has a different average?t-Test: Two-Sample Assuming Unequal Variancesclass 1class 2Mean7879Variance9047.333Observations97Hypothesized Mean Difference0df14t Stat-0.244P(T<=t) one-tail0.405t Critical one-tail1.761P(T<=t) two-tail0.811t Critical two-tail2.1452. Press Tab to enter the content editor. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Content EditorUse arrow keys to select functionsBoldItalicUnderline— Font family —Andale MonoArialArial BlackBook AntiquaComic Sans MSCourier NewGeorgiaHelveticaImpactSymbolTahomaTerminalTimes New RomanTrebuchet MSVerdanaWebdingsWingdingsFont family— Font size —1 (8pt)2 (10pt)3 (12pt)4 (14pt)5 (18pt)6 (24pt)7 (36pt)Font sizeText Color?Question 291. A sample of scores on an examination given in two different classes is examined. The following Excel output was obtained. Use ? = .05. Does Class 2 have a different grade?t-Test: Two-Sample Assuming Unequal Variancesclass 1class 2Mean7879Variance9047.333Observations97Hypothesized Mean Difference0df14t Stat-0.244P(T<=t) one-tail0.405t Critical one-tail1.761P(T<=t) two-tail0.811t Critical two-tail2.145Question 301. Auto, Inc., a fictional automobile manufacturer, is interested in estimating the value derived from a proposed Strategic Alternative (SA). The SA, posed by the CEO of the company, is to acquire an elite, high-end auto company where the average retail price of a car is $80,000. As part of this task, the acquisition team develops a three-year market analysis to determine if adequate market demand exists for luxury automobiles. The team chooses to use the predictive power of regression analysis to help make these projections.The first step in this process is to understand what drives total market demand for elite, high-end luxury automobiles. After analyzing the industry, the group hypothesizes that gross domestic product, or GDP, is a key predictor of market demand for these automobiles.To gather historical GDP data, the team turns to online databases located on the Federal Reserve Board website.To gather data on new vehicle sales for elite, high-end luxury cars, it uses the Bureau of Labor Statistics’ online databases on new vehicle car sales. (The GDP data is in billions of dollars and the sales data is in thousands of units.)Is GDP a valid predictor of sales? How do you know?SUMMARY OUTPUTRegression StatisticsMultiple R0.831453R Square0.691314Adjusted R Square0.652728Standard Error251.102335Observations10ANOVAdfSSMSFSignificance FRegression11129665.8381129665.8417.91630690.0028655Residual8504419.062363052.3828Total91634084.9CoefficientsStandard Errort StatP-valueIntercept739.44976519.585681.423150.19250GDP (in $billions)0.285270.067404.232770.00287Question 311. Auto, Inc., a fictional automobile manufacturer, is interested in estimating the value derived from a proposed Strategic Alternative (SA). The SA, posed by the CEO of the company, is to acquire an elite, high-end auto company where the average retail price of a car is $80,000. As part of this task, the acquisition team develops a three-year market analysis to determine if adequate market demand exists for luxury automobiles. The team chooses to use the predictive power of regression analysis to help make these projections.The first step in this process is to understand what drives total market demand for elite, high-end luxury automobiles. After analyzing the industry, the group hypothesizes that gross domestic product, or GDP, is a key predictor of market demand for these automobiles.To gather historical GDP data, the team turns to online databases located on the Federal Reserve Board website.To gather data on new vehicle sales for elite, high-end luxury cars, it uses the Bureau of Labor Statistics’ online databases on new vehicle car sales. (The GDP data is in billions of dollars and the sales data is in thousands of units.)If the GDP is at 12,000 billion dollars, how many thousands of units of cars would you expect to be sold?SUMMARY OUTPUTRegression StatisticsMultiple R0.831453R Square0.691314Adjusted R Square0.652728Standard Error251.102335Observations10ANOVAdfSSMSFSignificance FRegression11129665.8381129665.8417.91630690.0028655Residual8504419.062363052.3828Total91634084.9CoefficientsStandard Errort StatP-valueIntercept739.44976519.585681.423150.19250GDP (in $billions)0.285270.067404.232770.00287Question 321. Auto, Inc., a fictional automobile manufacturer, is interested in estimating the value derived from a proposed Strategic Alternative (SA). The SA, posed by the CEO of the company, is to acquire an elite, high-end auto company where the average retail price of a car is $80,000. As part of this task, the acquisition team develops a three-year market analysis to determine if adequate market demand exists for luxury automobiles. The team chooses to use the predictive power of regression analysis to help make these projections.The first step in this process is to understand what drives total market demand for elite, high-end luxury automobiles. After analyzing the industry, the group hypothesizes that gross domestic product, or GDP, is a key predictor of market demand for these automobiles.To gather historical GDP data, the team turns to online databases located on the Federal Reserve Board website.To gather data on new vehicle sales for elite, high-end luxury cars, it uses the Bureau of Labor Statistics’ online databases on new vehicle car sales. (The GDP data is in billions of dollars and the sales data is in thousands of units.)1. Interpret b1.SUMMARY OUTPUTRegression StatisticsMultiple R0.831453R Square0.691314Adjusted R Square0.652728Standard Error251.102335Observations10ANOVAdfSSMSFSignificance FRegression11129665.8381129665.8417.91630690.0028655Residual8504419.062363052.3828Total91634084.9CoefficientsStandard Errort StatP-valueIntercept739.44976519.585681.423150.19250GDP (in $billions)0.285270.067404.232770.00287
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