商务统计学+习题 (5)[21页]

Chapter 5: Displaying and Describing Quantitative Data – Quiz AName_________________________1. Following is a histogram of salaries (in $) for a sample of U.S. marketing managers. Comment on the shape of the distribution.2. Following is the five-number summary of salaries (in $) for a sample of U.S. marketing managers displayed in question 1.Min Q1 Median Q3 Max46360 6969377020 91750129420a. Would you expect the mean salary for this sample of marketing managers to be higher or lower than the median? Explain.b. Which would be a more appropriate measure of central tendency for these data, the mean or median? Explain.c. Calculate the range.d. Calculate the IQR.3. Suppose the marketing manager who was earning $129,420 got a raise and is now earning $140,000. Indicate how this change would affect the following summary statistics (increase, decrease, or stay about the same):Meana.b. Medianc. Ranged. IQRe. Standard deviation4. The following table shows data on total assets ($ billion) for a small sample of U.S. banks. Prepare a stem and leaf display. Comment on the shape of the distribution.BANK ASSETS ($ billion)Bank of New York 88Regions Financial 80Fifth Third Bank 58State Street Bank and Trust 92Branch Banking and Trust Company 81Chase Bank 70Key Bank 89PNC Bank 845. For the data on total assets ($ billion) for a small sample of U.S. banks provided in the previous question:a. Calculate the mean.b. Calculate the standard deviation.c. Standardize the asset value of Fifth Third Bank (find the z score). Interpret its meaning.6. The following boxplots show monthly sales revenue figures ($ thousands) for a discount office supply company with locations in three different regions of the U.S. (Northeast, Southeast, and West).a. Which region has the highest median sales revenue?b. Which region has the lowest median sales revenue?c. Which region has the most variable sales revenue values? Explain.Chapter 5: Displaying and Describing Quantitative Data – Quiz A – Key1. Following is a histogram of salaries (in $) for a sample of U.S. marketing managers. Comment on the shape of the distribution.The distribution is unimodal and skewed right.2. Following is the five-number summary of salaries (in $) for a sample of U.S. marketing managers displayed in question 1.Min Q1 Median Q3 Max46360 6969377020 91750129420a. Would you expect the mean salary for this sample of marketing managers to be higher or lower than the median? Explain.We would expect the mean salary to be higher than the median because the distribution is skewed right (the sample mean is $82,549).b. Which would be a more appropriate measure of central tendency for these data, the mean or median? Explain.The median is preferred over the mean when the distribution is skewed.c. Calculate the range.$83,060.d. Calculate the IQR.$22,057.3. Suppose the marketing manager who was earning $129,420 got a raise and is now earning $140,000. Indicate how this change would affect the following summary statistics (increase, decrease, or stay about the same):a. MeanIncrease.b. MedianStay the same.c. RangeIncrease.d. IQRStay the same.e. Standard deviationIncrease.4. The following table shows data on total assets ($ billion) for a small sample of U.S. banks. Prepare a stem and leaf display. Comment on the shape of the distribution.BANK ASSETS ($ billion)Bank of New York 88Regions Financial 80Fifth Third Bank 58State Street Bank and Trust 92Branch Banking and Trust Company 81Chase Bank 70Key Bank 89PNC Bank 84Stem-and-Leaf Display: Assets ($ billion)Stem-and-leaf of Assets ($ billion) N = 8Leaf Unit = 1.01 5 81 61 62 7 02 7(3) 8 0143 8 891 9 2The shape of the distribution is skewed left.5. For the data on total assets ($ billion) for a small sample of U.S. banks provided in the previous question:a. Calculate the mean.$80.25 (billion).b. Calculate the standard deviation.$11.27 (billion)c. Standardize the asset value of Fifth Third Bank (find the z score). Interpret its meaning.-1.97 (this value is approximately 2 standard deviations below the mean).6. The following boxplots show monthly sales revenue figures ($ thousands) for a discount office supply company with locations in three different regions of the U.S. (Northeast, Southeast, and West).a. Which region has the highest median sales revenue? Northeast.b. Which region has the lowest median sales revenue? Southeast.c. Which region has the most variable sales revenue values? Explain. West. It has the largest range and IQR.Chapter 5: Displaying and Describing Quantitative Data – Quiz BName_________________________1. Data were collected on the hourly wage ($) for two types of marketing managers: (1) advertising / promotion managers and (2) sales managers. The results were used to create the following histograms.a. Describe the hourly wage distribution for advertising/promotion managers.b. Describe the hourly wage distribution for sales managers.c. Compare the hourly wages for the two types of marketing managers based on the histograms.2. Following is the five number summary of the hourly wages ($) for advertising / promotion managers displayed in question 1.Min Q1 Median Q3 Max19.64 29.3634.18 40.8657.26a. Would you expect the mean salary for this sample of marketing managers to be higher or lower than the median? Explain.b. Which would be a more appropriate measure of central tendency for these data, the mean or median? Explain.c. Calculate the range.d. Calculate the IQR.3. Following is the five number summary of the hourly wages ($) for sales managers displayed in question 1.Min Q1 Median Q3 Max20.94 37.6444.77 49.3467.11Suppose there had been an error and that the lowest hourly wage for sales managers was $18.50 instead of $20.94. Indicate how this change would affect the following summary statistics (increase, decrease, or stay about the same):a.Meanb. Medianc. Ranged. IQRe. Standard deviation4. The following table shows closing share prices (on the first trading day of August, 2007) for a small sample of companies.COMPANY CLOSING SHARE PRICE – 08/073M Dental Products 86.95Tyco Electronics Power Systems 47.45Kyocera America Inc. 94.10Pfizer Inc. 22.39Xerox Company 17.56Northrop Grumman Corporation 75.81Lockheed Martin Maritime Systems 100.17Sony DADC 51.91Matsushita Electronic Components 17.91Foster Wheeler Environmental Corp. 55.67a. Calculate the mean.b. Calculate the standard deviation.c. Standardize the share price for Matsushita Electronic Components (find the z score). Interpret its meaning.5. The following boxplots show the closing share prices for the sample of companies in question 4 on the first trading days in August 2007 and in August 2002.a. For which day was the median closing share price higher?b. For which day were the closing share prices more variable? Explain.c. Which distribution is more symmetric? Explain.6. Following is a time series graph for monthly closing price of 3M Dental Products stock (beginning June 2005).a. Are the closing prices for shares of 3M Dental Products from June 2005 through August 2007 stationary? Explain.b. Would a histogram provide a good summary of these stock prices? Explain.Chapter 5: Displaying and Describing Quantitative Data – Quiz B – Key1. Data were collected on the hourly wage ($) for two types of marketing managers: (1) advertising / promotion managers and (2) sales managers. The results were used to create the following histograms.a. Describe the hourly wage distribution for advertising/promotion managers. Unimodal and right skewed.b. Describe the hourly wage distribution for sales managers.Unimodal and left skewed.c. Compare the hourly wages for the two types of marketing managers based on the histograms.It appears that sales managers earn a higher hourly wage compared toadvertising/promotion managers.2. Following is the five number summary of the hourly wages ($) for advertising / promotion managers displayed in question 1.Min Q1 Median Q3 Max19.64 29.3634.18 40.8657.26a. Would you expect the mean salary for this sample of marketing managers to be higher or lower than the median? Explain.We would expect the mean salary to be higher than the median because the distribution is skewed right (the sample mean is $35.05).b. Which would be a more appropriate measure of central tendency for these data, the mean or median? Explain. .The median is preferred over the mean when the distribution is skewed.c. Calculate the range.$37.62d. Calculate the IQR.$11.503. Following is the five number summary of the hourly wages ($) for sales managers displayed in question 1.Min Q1 Median Q3 Max20.94 37.6444.77 49.3467.11Suppose there had been an error and that the lowest hourly wage for sales managers was $18.50 instead of $20.94. Indicate how this change would affect the following summary statistics (increase, decrease, or stay about the same):a. MeanDecrease.b. MedianStay the same.c. RangeIncrease.d. IQRStay the same.e. Standard deviationIncrease.4. The following table shows closing share prices (on the first trading day of August, 2007) for a small sample of companies.COMPANY CLOSING SHARE PRICE – 08/073M Dental Products 86.95Tyco Electronics Power Systems 47.45Kyocera America Inc. 94.10Pfizer Inc. 22.39Xerox Company 17.56Northrop Grumman Corporation 75.81Lockheed Martin Maritime Systems 100.17Sony DADC 51.91Matsushita Electronic Components 17.91Foster Wheeler Environmental Corp. 55.67a. Calculate the mean.$56.99b. Calculate the standard deviation.$31.43c. Standardize the share price for Matsushita Electronic Components (find the z score). Interpret its meaning.-1.24; the share price is 1.24 standard deviations below the mean.5. The following boxplots show the closing share prices for the sample of companies in question 4 on the first trading days in August 2007 and in August 2002.a. For which day was the median closing share price higher?Aug. 2007b. For which day were the closing share prices more variable? Explain. Aug. 2007; the range and IQR are higher.c. Which distribution is more symmetric? Explain.Aug. 2007, the median line is near the middle of the box.6. Following is a time series graph for monthly closing price of 3M Dental Products stock (beginning June 2005).a. Are the closing prices for shares of 3M Dental Products from June 2005 through August 2007 stationary? Explain.No, an upward trend is evident.b. Would a histogram provide a good summary of these stock prices? Explain. No, because these data are not stationary.Chapter 5: Displaying and Describing Quantitative Data – Quiz C – Multiple Choice Name_________________________Consider the following to answer questions 1 – 4:Following are a histogram and the five number salary for salaries (in $) for a sample of U.S. marketing managers.Min Q1 Median Q3 Max46360 6969377020 917501294201. The shape of this distribution isA. symmetric.B. bimodal.C. right skewed.D. left skewed.E. normal.2. The most appropriate measure of central tendency for these data is theA. median.B. mean.C. mode.D. range.E. standard deviation.3. The IQR for these data isA. $83,060.B. $22.057.C. $69,693D. $77.020E. $14,5664. Suppose the marketing manager who was earning $129,420 got a raise and is now earning $140,000. Which of the following statement is true?A. The mean would increase.B. The median would increase.C. The range would increase.D. Both A and C.E. All of the above.Consider the following to answer questions 5 – 7:The following table shows closing share prices for a small sample of companies. COMPANY CLOSING SHARE PRICE – 08/073M Dental Products 86.95Tyco Electronics Power Systems 47.45Kyocera America Inc. 94.10Pfizer Inc. 22.39Xerox Company 17.56Northrop Grumman Corporation 75.81Lockheed Martin Maritime Systems 100.17Sony DADC 51.91Matsushita Electronic Components 17.91Foster Wheeler Environmental Corp. 55.675. The mean closing share price isA. $31.23B. $44.65C. $56.99D. $62.19E. $75.776. The standard deviation in closing share prices isA. $31.23B. $44.65C. $56.99D. $62.19E. $75.777. The z score for the share price for Matsushita Electronic Components isA. 1.24B. 2.34C. -2.34D. -3.00E. -1.24Consider the following to answer questions 8 – 9:The following boxplots show monthly sales revenue figures ($ thousands) for a discount office supply company with locations in three different regions of the U.S. (Northeast, Southeast, and West).8. Which of the following statements is true?A. The southeast has the lowest sales revenues.B. The southeast has the lowest median sales revenue.C. The west has the lowest mean sales revenue.D. The west has the lowest median sales revenue.E. None of the above.9. Which of the following statements is false?A. The west has the most variable sales revenues.B. The west has the largest IQR.C. The southeast has the smallest IQR.D. The northeast has the most variable sales revenues.E. The southeast has the least variable sales revenues.10. Following is a time series graph for monthly closing stock prices of 3M Dental Products. Which of the following statements is true?A. The data are stationary.B. The data show an upward trend.C. A histogram would provide a good representation of these data.D. Both A and CE. Both B and CCHAPTER 5 Quiz C Business Statistics: A First Course55 Chapter 5 – Quiz C – Key1. C2. A3. B4. D5. C6. A7. E8. B9. D10. BCopyright © 2011 Pearson Education, Inc. Publishing as Addison-Wesley.。