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Question: Consider CREF, the College Retirement Equities

Consider CREF, the College Retirement Equities Fund, which manages retirement accounts for employees of nonprofit educational and research organizations. CREF manages a large and diversified portfolio in its growth stock account, somewhere around $22.5 billion. Investment in media represents 5.0% of this portfolio. Data on the market value of these CREF media investments are shown in Table 3.8.4. a. Construct a histogram of this data set. b. Based on this histogram, describe the distribution of CREF’s investment in the media sector. c. Describe the shape of the distribution. In particular, is it skewed or symmetric? d. Find the logarithm of each data value. e. Construct a histogram of these logarithms. f. Describe the distribution shape of the logarithms. In particular, is it skewed or symmetric? Table 3.8.4:
Consider CREF, the College Retirement Equities Fund, which manages retirement accounts for employees of nonprofit educational and research organizations. CREF manages a large and diversified portfolio in its growth stock account, somewhere around $22.5 billion. Investment in media represents 5.0% of this portfolio. Data on the market value of these CREF media investments are shown in Table 3.8.4.
a. Construct a histogram of this data set.
b. Based on this histogram, describe the distribution of CREF’s investment in the media sector.
c. Describe the shape of the distribution. In particular, is it skewed or symmetric?
d. Find the logarithm of each data value.
e. Construct a histogram of these logarithms.
f. Describe the distribution shape of the logarithms. In particular, is it skewed or symmetric?

Table 3.8.4:


Consider CREF, the College Retirement Equities Fund, which manages retirement accounts for employees of nonprofit educational and research organizations. CREF manages a large and diversified portfolio in its growth stock account, somewhere around $22.5 billion. Investment in media represents 5.0% of this portfolio. Data on the market value of these CREF media investments are shown in Table 3.8.4.
a. Construct a histogram of this data set.
b. Based on this histogram, describe the distribution of CREF’s investment in the media sector.
c. Describe the shape of the distribution. In particular, is it skewed or symmetric?
d. Find the logarithm of each data value.
e. Construct a histogram of these logarithms.
f. Describe the distribution shape of the logarithms. In particular, is it skewed or symmetric?

Table 3.8.4:





Transcribed Image Text:

TABLE 3.8.4 CREF's Investments Portfolio Value Company ($ Thousands) AMC Networks 21,988 Cablevision Systems (Class A) 287 CBS (Class B) 11,235 Charter Communications 5,280 Cinemark Holdings 1,915 Clear Channel Outdoor Holdings (Class A) 59 Comcast (Class A) 276,542 Comcast (Special Class A) 8,487 DirecTV 78,080 Discovery Communications (Class A) 1,938 Discovery Communications (Class C) 6,379 DISH Network (Class A) 8,900 Interpublic Group of Cos 24,042 Lions Gate Entertainment 6,185 Live Nation 1,647 Madison Square Garden 2,111 Morningstar 624 Omnicom Group 6,983 Regal Entertainment Group (Class A) 712 Scripps Networks Interactive (Class A) 2,458 Sirius XM Holdings 12,544 Starz-Liberty Capital 16,796 Warner Cable 23,711 Time Warner 139,541 Tribune 23,189 Twenty-First Century Fox 15,511


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> You have begun a quality improvement campaign in your paper mill, and, as a result, lots of pieces of paper come to your desk. Each one describes a recent problem with customers according to the following codes: A = paper unavailable, B = paper too thick

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> Many marketers assumed that consumers would go for reduced-calorie foods in a big way. While these “light” foods caught on to some extent, they hadn’t yet sold in the large quantities their producers

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> Consider the 20,000 median household income values in the donations database (available on the companion site). These represent the median household income for the neighborhood of each potential donor in the database. a. Construct a cumulative distributi

> Consider the data on CEO compensation in computer programming, data processing, and other related services firms from Table 3.8.7 of Chapter 3. a. Draw a detailed box plot. b. Find the 10th percentile of compensation. Table 3.8.7: TABLE 3.8.7 CEOo

> Consider the costs charged for treatment of heart failure and shock by hospitals in the Puget Sound area, using the data from Table 3.8.6 of Chapter 3. a. Summarize the costs. b. Draw a box plot. c. Draw a cumulative distribution function. d. If your hos

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> Consider the following list of your product’s market share of 20 major metropolitan areas: 0.7%, 20.8%, 2.3%, 7.7%, 5.6%, 4.2%, 0.8%, 8.4%, 5.2%, 17.2%, 2.7%, 1.4%, 1.7%, 26.7%, 4.6%, 15.6%, 2.8%, 21.6%, 13.3%, 0.5%. a. Construct an appropriate histogram

> Consider the 20,000 median household income values in the donations database (available at the companion site). These represent the median household income for the neighborhood of each potential donor in the database. a. Construct a histogram. b. Describ

> Using the data from Table 2.8 of Chapter 2 for daily values for the Dow Jones Industrial Average: a. Construct a histogram for net change during September 2015. b. Describe the shape of the distribution. c. Construct a histogram for percent change during

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> Consider the order size of recent customers (in thousands of dollars): 31, 14, 10, 3, 17, 5, 1, 17, 1, 2, 7, 12, 28, 4, 4, 10, 4, 3, 9, 28, 4, 3. a. Construct a histogram for this data set. b. Describe the distribution shape.

> Consider the salaries (in thousands of dollars) of a group of business executives: 177, 54, 98, 57, 209, 56, 45, 98, 58, 90, 116, 42, 142, 152, 85, 53, 52, 85, 72, 45, 168, 47, 93, 49, 79, 145, 149, 60, 58 a. Construct a histogram of this data set. b. De

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> Draw a histogram of interest rates offered by banks on certificates of deposit and describe the distribution shape: 9.9%, 9.5%, 10.3%, 9.3%, 10.4%, 10.7%, 9.1%, 10.0%, 8.8%, 9.7%, 9.9%, 10.3%, 9.8%, 9.1%, 9.8%

> Consider the price of renting a car for a week, with manual transmission but declining the collision damage waiver, in 13 European countries (Table 3.8.12). a. Draw a histogram of this data set. b. Describe the distribution shape. Table 3.8.12: TAB

> The number of small electric motors rejected for poor quality, per batch of 250, were recorded for recent batches. The results were as follows: 3, 2, 7, 5, 1, 3, 1, 7, 0, 6, 2, 3, 4, 1, 2, 25, 2, 4, 5, 0, 5, 3, 5, 3, 1, 2, 3, 1, 3, 0, 1, 6, 3, 5, 41, 1,

> What action would you recommend? Why?

> Should we agree with Billings at the next meeting? Justify your answer by careful analysis of the available data.

> Continuing with the revenue loss data of Table 3.8.11: a. Find the logarithm for each data value. Omit the two firms with zero revenue loss from your answers to this problem. b. Construct a histogram for this data set. c. Describe the distribution shape.

> When the Internal Revenue Service (IRS) tax code was revised in 1986, Congress granted some special exemptions to specific corporations. The U.S. government’s revenue losses due to some of these special transition rules for corporate pr

> Many people do not realize how much a funeral costs and how much these costs can vary from one provider to another. Consider the price of a traditional funeral service with visitation (excluding casket and grave liner) as shown in Table 3.8.10 for the Pu

> Consider the net income as reported by selected firms in Table 3.8.9. a. Construct a histogram. b. Describe the distribution shape. Table 3.8.9: TABLE 3.8.9 Net Income of Selected Firms Firm Net Income ($ Thousands) Bay State Bancorp 1,423 Bedford

> There are many different and varied formats and strategies for radio stations, but one thing they all have in common is the need for an audience in order to attract advertisers. Table 3.8.8 shows the percent of listeners for radio stations in the Albuque

> Consider the compensation paid to CEOs of computer programming, data processing, and other related services firms, as shown in Table 3.8.7. a. Construct a histogram. b. Describe the distribution shape. Table 3.8.7: TABLE 3.8.7 CEOo Compensation for

> Consider the costs charged for treatment of heart failure and shock by hospitals in the Puget Sound area, as shown in Table 3.8.6. a. Construct a histogram. b. Describe the distribution shape. Table 3.8.6: TABLE 3.8.6 Hospital Charges for Heart Fa

> Draw a histogram of the average hospital charge in ($ thousands) for treating a patient who had the diagnosis group “Inguinal & femoral hernia procedures w MCC” for a group of hospitals in Washington State (data accessed at http://wwwdoh.wa.gov/EHSPHL/h

> Consider the percent change in revenues for food-related companies in the Fortune 500, in Table 3.8.5. a. Construct a histogram for this data set. b. Describe the distribution shape. c. Land O’Lakes had the largest decrease, falling by

> Table 2.6.1 shows some items from a human resources database, representing the status of five people on May 3, 2015. a. What is an elementary unit for this data set? b. What kind of data set is this: Univariate, bivariate, or multivariate? c. Which of th

> Look through the data. Do you find anything that calls into question the regression results? Perform further analysis as needed.

> Consider the 20,000 median household income values in the donations database (available at the companion site). These represent the median household income for the neighborhood of each potential donor in the database. a. Construct a histogram. b. Describ

> Consider the percentage change in stock price of the most active issues traded on the NASDAQ stock exchange, as shown in Table 3.8.3. a. Construct a histogram of this data set. b. Describe the distribution shape. c. Identify the outlier. d. Interpret the

> Business firms occasionally buy back their own stock for various reasons, sometimes when they view the market price as a bargain compared to their view of its true worth. It has been observed that the market price of stock often increases around the time

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> Consider the Internet advertising budgets from problem 1, but expressed in European euros instead of U.S. dollars. Use the exchange rate listed in a recent issue of The Wall Street Journal or another source. Based on your answers to problem 1 (ie, withou

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> Refer to the data for problem 6. a. Find the critical value from the F table at the 10% level and report the result of the F test at this level. b. Summarize what this F test has told you about the comparative abilities of these additives to reduce waste

> What are the “obvious conclusions” from the hypothesis tests in the regression output?

> Refer to the data for problem 6. Would it be appropriate to use the least-significant-difference test to find out whether Cleen Up has significantly lower waste than Sludge Away (at the 5% level)? Why or why not? Data from problem 6: Three companies ar

> Refer to the data for problem 6. a. Find the F statistic and its numbers of degrees of freedom. b. Interpret the F statistic in terms of how many times more volatile one source of variability is than another. c. Find the critical value from the F table a

> Three companies are trying to sell you their additives to reduce waste in a chemical manufacturing process. You are not sure their products are appropriate because your process is different from the industry standard (it is a proprietary trade secret). Y

> Refer to the data for problem 1. a. Find the average difference and its standard error for every pair of advertisements (computed as ad 2minus ad 1, ad 1minus ad3, and ad 2minusad 3). b. Test every pair of advertisements atthe1%level and report the resul

> Refer to the data for problem 1. a. Find the average difference between the effectiveness of ad 1 and that of ad 2 (computed as ad 2 minus ad 1). b.* Find the standard error for this average difference. c. How many degrees of freedom does this standard e

> Refer to the data for problem 1. a. Find the critical value from the F table at the 0.1% level and report the result of the F test at this level. b. Summarize what this test has told you about any differences among these ads for consumers in general in t

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> Camera angle can make a difference in advertising; it can even affect the viewer’s evaluation of a product. A research article reported a main effect for camera angle (F2,29 = 14.48, p

> Are prices really higher in department stores as compared to off-price stores? Kirby and Dardis examined prices of 20 items (shirts, pants, etc.) for 13 weeks and found that prices are indeed 40% higher in department stores.12 The ANOVA table, adapted fr

> Refer to the data for problem 1. a. Find the F statistic and its numbers of degrees of freedom. b. Interpret the F statistic in terms of how many times more volatile one source of variability is than another. c. Find the critical value from the F table a

> What would you recommend? Are there any other considerations that might change your mind?

> Which is better: competition or cooperation? And does the answer depend on whether the participants share the same values? A study by Cosier and Dalton sheds light on these issues.11 One of their ANOVA tables provides the basis for Table 15.5.5. a.* The

> Is there a significant interaction between supplier and shift in Table 15.5.4? Justify and interpret your answer. Table 15.5.4: TABLE 15.5.4 Average Quality Scores and ANOVA Table Day Shift Night Shift Swing Shift Average Supplier A 77.06 93.12 77.

> Compare the overall average for the day shift to that for the night and swing shifts (refer to Table 15.5.4). Does it appear that there are large differences (more than two or three quality points) among shifts? Are these differences significant? How do

> Use multiple regression with indicator variables, instead of one-way ANOVA, to test whether the quality data in show significant differences from one supplier to another. (You may wish to review the material on indicator variables from Chapter 12.) a. Cr

> Refer to the data for problem 11. Continue using the logarithms of the lengths of calls. a. Find the average difference and its standard error for every pair of types of calls (subtracting smaller from larger in each case). b. Which pairs of types of cal

> Refer to the data for problem 11. Continue using the logarithms of the lengths of calls. a. Find the F statistic and its numbers of degrees of freedom. b. Find the critical value from the F table at the 5% level. c. Report the result of the F test at the

> In an attempt to regain control of your time, you have been recording the time required, in minutes, to respond to each telephone call for the day. Before you make changes (such as referring certain types of calls to subordinates), you would like to have

> Refer to the data for problem 6. Select the two additives with the largest average difference in waste and answer the following. (Use the least-significant difference test method for this problem, subtracting smaller from larger even if you feel that it

> Three advertisements have been tested, each one using a different random sample of consumers from the same city. Scores indicating the effectiveness of the advertisement were analyzed; the results are shown in Table 15.5.1. a. Which advertisement appears

> Table 14.4.3 shows the quarterly net sales of Mattel, a major designer, manufacturer, and marketer of toys. Because of seasonal gift giving, you might expect fourth-quarter sales to be much higher, generally, than those of the other three quarters of the

> Does the amount of purifier have a significant effect on yield, according to this regression analysis? Based on this alone, would you be likely to recommend including a purifying step in the production process?

> Consider Intel’s Net Revenue in Table 14.4.2. a. Construct a time-series plot for this data set. Describe the seasonal and cyclic behavior that you see, as well as any evidence of irregular behavior. b. Which quarter(1,2,3, or4) appears

> Consider the Walt Disney Company’s quarterly revenues as shown in Table 14.4.1. a. Draw a time-series plot for this data set. Describe any trend and seasonal behavior that you see. b. Find the moving average values and plot them on the

> At a meeting, everyone seems to be pleased by the fact that sales increased from $21,791,000 to $22,675,000 from the third to the fourth quarter. Given that the seasonal indices are 1.061 for quarter 3 and 1.180 for quarter 4, write a paragraph analyzing

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> Consider the time series of quarterly sales in thousands shown in Table 14.4.6. The seasonal indices are 0.89 for quarter 1, 0.88 for 2, 1.27 for 3, and 0.93 for 4. a. Find the seasonally adjusted sales corresponding to each sales value. b. In which quar

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> One might expect the price of a tent to reflect various characteristics; for example, we might expect larger tents to cost more, all else equal (because they will hold more people) and heavier tents to cost less, all else equal (because they are harder t

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