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business statistics a first course

Questions and Answers of Business Statistics A First Course

3.59 A testing firm has measured the power consumption of 40 dorm-size microwave ovens selected at random from the manufacturer’s production line. Given the following box-and-whisker plot,
3.58 The accompanying box-and-whisker plot represents the number of gallons of water used by 80 households over a 1-day period. Determine the approximate values for the median, the first and third
3.57 A quality control supervisor has taken a sample of 16 bolts from the output of a thread-cutting machine and tested their tensile strengths. The results, in tons of force required for breakage,
3.56 For a sample of five different years from the period 1960 through 2007, it is found that U.S. work stoppages involving at least 1000 workers occurred 268 times in one of these years, with 424,
3.55 A grocery store owner has found that a sample of customers purchased an average of 3.0 pounds of luncheon meats in the past week, with a sample standard deviation of 0.5 lb.a. If the store’s
3.54 The cafeteria manager at a manufacturing plant has kept track of the number of cups of coffee purchased during each of the past 90 working days.a. Using the following descriptive statistics,
3.53 The frequency distribution for population density(persons per square mile) for the 50 U.S. states is as follows:Does this distribution appear to be symmetrical? If not, is it skewed positively
3.52 Natural History magazine has published a listing of the maximum speeds (in mph) for a wide variety of animals, including those shown in the table.a. Determine the mean and the median for these
3.51 According to Honda Motor Co., Inc., the exchange rate (yen per U.S. dollar) from 1998 through 2005 was 123, 128, 112, 111, 125, 122, 113, and 108. Determine the mean and median for these data.
3.50 The 2007 top-grossing feature film was Spiderman 3, a product that brought in $336.5 million at the box office. The gross receipts for this and the rest of the top-20 feature films of that year
3.49 A dental supplies distributor ships a customer 50 boxes of product A, 30 boxes of B, 60 boxes of C, and 20 boxes of D. The unit shipping costs (dollars per box) for the four products are $5, $2,
3.48 The first seven customers of the day at a small donut shop have checks of $1.25, $2.36, $2.50, $2.15,$4.55, $1.10, and $0.95, respectively. Based on the number of customers served each day, the
3.47 A report on the average price of a sample of brandname prescription drugs with their generic equivalents has found the generics to be considerably cheaper. The drugs and the average prices for
3.46 The U.S. National Center for Health Statistics has compiled data on death rates (deaths per 100,000 people) from heart disease and cancer for the 50 states.The states and their respective death
3.45 In the U.S. News & World Report top-50 U.S.law schools in Exercise 2.67, the listing for each school included two rating scores: one from academic evaluators and another from lawyer/judge
3.44 In Exercise 3.14, two of the variables examined by the personnel director were age and number of absences during the past year. Using the data in file XR03014, generate a scatter diagram (with y
3.43 For a set of data, r2 is 0.64 and the variables x and y are inversely related. What is the numerical value of r?( DATA SET ) Note: Exercises 3.44–3.47 require a computer and statistical
3.42 What is the coefficient of determination and what does it tell us about the relationship between two variables?
3.41 Eighty packages have been randomly selected from a frozen food warehouse, and the age (in weeks) of each package is identified. Given the frequency distribution shown, determine the approximate
3.40 A sample consisting of 100 employees has been given a manual-dexterity test. Given the accompanying frequency distribution, determine the approximate mean and standard deviation for these data.
3.39 Using the data in Exercise 3.5, construct a frequency distribution.a. Determine the approximate values of the mean and standard deviation.b. Compare the approximate values from part (a) with the
3.38 Exercise 3.25 described a study in which e-commerce researchers visited walmart.com on multiple occasions during the holiday shopping season and measured the time (in seconds) it took for the
3.37 In Exercise 3.14, the personnel director has collected data describing 100 employees, with one of the variables being the number of absences during the past year. Using data file XR03014,
3.36 A resort catering to golfers has reported the average income of golfer households to be $95,000. Assume that this average had been based on the 100 incomes in file XR03036. Source:
3.35 A sample of 20 customers from Barnsboro National Bank reveals an average savings account balance of$315, with a standard deviation of $87. A sample of 25 customers from Wellington Savings and
3.34 For data set A, the mean is $1235, with a standard deviation of $140. For data set B, the mean is 15.7 inches, with a standard deviation of 1.87 inches.Which of these two data sets has the
3.33 For college-bound high school seniors from a certain midwestern city, math scores on the Scholastic Aptitude Test (SAT) averaged 480, with a standard deviation of 100. Assume that the
3.32 The manufacturer of an extended-life lightbulb claims the bulb has an average life of 12,000 hours, with a standard deviation of 500 hours. If the distribution is bell shaped and symmetrical,
3.31 Standardize the data in Exercise 3.21, then identify the percentage of observations that fall within k 5 2.0 standard deviation units from the mean. Do the results support Chebyshev’s theorem?
3.30 For the data in Exercise 3.20, determine the percentage of observations that fall within k 5 1.5 standard deviation units from the mean. Do the results support Chebyshev’s theorem?
3.29 According to Chebyshev’s theorem, what per centage of observations should falla. within 2.5 standard deviations of the mean?b. within 3.0 standard deviations of the mean?c. within 5.0 standard
3.28 A manufacturing firm has collected information on the number of defects produced each day for the past 50 days. The data have been described by the accompanying Minitab box-and-whisker plot.a.
3.27 Data file XR02028 shows the depths (in meters) that 80 water-resistant watches were able to withstand just before leakage. For the watches in this sample, determine and interpret the
3.26 Data file XR03014 includes the number of absences from work for a sample of 100 employees. For the variable representing number of days absent, determine and interpret the following:a. The mean,
3.25 During the 1999 holiday shopping season, Keynote Systems, Inc. visited a number of e-commerce websites to see how long it took for the site to come up on the PC of a consumer using a 56K modem.
3.24 Determine the first, second, and third quartiles for the data in Exercise 3.21; then calculate the interquartile range and the quartile deviation.( DATA SET ) Note: Exercises 3.25–3.27 require
3.23 Determine the first, second, and third quartiles for the data in Exercise 3.20; then calculate the interquartile range and the quartile deviation.
3.22 For a sample of eight apartment buildings in Chicago, the percentage-occupancy rates during a recent month were as shown below:50.0% 79.1 61.3 43.9 68.1 70.0 72.5 66.3 For these sample data,
3.21 According to the U.S. Environmental Protection Agency, a sample of 10 subcompact models shows the following estimated values for highway fuel economy(mpg): 40, 33, 32, 30, 27, 29, 27, 23, 21,
3.20 For a sample of 11 employers, the most recent hourly wage increases were 18, 30, 25, 5, 7, 2, 20, 12, 15, 55, and 40 cents per hour. For these sample data, determine:a. The mean, median, range,
3.19 During July 2005, the seven most-visited shopping websites (with number of visitors, in millions)were: eBay (61.7), Amazon (42.0), Wal-Mart (22.6), Shopping.com (22.4), Target (20.5), Apple
3.18 For the sample of Saturday-morning cartoon violence counts described in Exercise 3.4, determine the range, the mean absolute deviation, the standard deviation, and the variance.
3.17 For the sample of computer website hits described in Exercise 3.3, determine the range, the mean absolute deviation, the standard deviation, and the variance.
3.16 Provide a real or hypothetical example of a situation where the range could be misleading as a measure of dispersion.
3.15 For the data in Exercise 3.14, compare the mean and median ages for female employees (gender code 5 1)versus male employees (gender code 5 2). The data are in file XR03014.
3.14 A personnel administrator has collected data on 100 employees, including gender, age, and number of days absent during the previous year. Compare the mean and median number of days absent for
3.13 Each of the 100 air compressors described in Exercise 2.71 was tested to measure the amount of pressure it could exert. Find the mean and the median pressure, and comment on possible skewness of
3.12 For the U.S. News & World Report top-50 U.S.law schools in Exercise 2.67, find the mean and median scores that the schools received from the academic evaluators.Compare these with the mean and
3.11 In preparation for upcoming contract negotiations, labor and management representatives of the Hoffer Concrete Company have been collecting data on the earnings of a sample of employees (ranging
3.10 An observer stands at an overpass and, for each motorcycle that passes below, records the value of x 5 the number of riders on the motorcycle.a. What value would you anticipate for the mode of
3.9 A student scored 90 on the midterm exam, 78 on the final exam, and 83 on the term project. If these three components are weighted at 35%, 45%, and 20%, respectively, what is the weighted mean for
3.8 According to a utility company, utility plant expenditures per employee were approximately $50,845,$43,690, $47,098, $56,121, and $49,369 for the years 2005 through 2009. Employees at the end of
3.7 A reference book lists the following maximum life spans (in years) for animals in captivity: Source: The World Almanac and Book of Facts 2009, p. 329.What is the mean of these maximum life spans?
3.6 The following is a list of closing prices for 15 of the stocks held by an institutional investor. What was the average closing price for this sample of stocks? The median closing price? $31.69
3.5 For 1988 through 2007, the net rate of investment income for U.S. life insurance companies was as follows.What was the mean net rate of investment income for this period? The median? Year
3.4 A social scientist for a children’s advocacy organization has randomly selected 10 Saturday-morning television cartoon shows and carried out a content analysis in which he counts the number of
3.3 Erika operates a website devoted to providing information and support for persons who are interested in organic gardening. According to the hit counter that records daily visitors to her site,
3.2 Using the data in Exercise 2.11, determine the mean and the median number of goals per season that Mr. Gretzky scored during his 20 seasons in the National Hockey League.
3.1 Determine the mean and the median wage rate for the data in Exercise 2.9.
1.22 Use the coefficient of correlation to measure association between two quantitative variables.
1.22 Determine measures of central tendency and dispersion for grouped data.
1.22 Use the computer to visually represent data with a box-and-whisker plot.
1.22 Convert data to standardized values.
1.22 Describe data by using measures of central tendency and dispersion.
1.22 In studying the performance of the company’s stock investments over the past year, the research manager of a mutual fund company finds that only 43% of the stocks returned more than the rate
1.21 Roger Amster teaches an English course in which 40 students are enrolled. After yesterday’s class, Roger questioned the 5 students who always sit in the back of the classroom. Three of the 5
1.20 Bill scored 1200 on the Scholastic Aptitude Test and entered college as a physics major. As a freshman, he changed to business because he thought it was more interesting. Because he made the
1.19 Most undergraduate business students will not go on to become actual practitioners of statistical research and analysis. Considering this fact, why should such individuals bother to become
1.18 For each of the following, indicate the scale of measurement that best describes the infor mation.a. In 2008, Dell Corporation had approximately 78,000 employees. Source: Fortune, May 4, 2009,
1.17 What kinds of statistical data play a role in an auto insurance firm’s decision on the annual premium you’ll pay for your policy?
1.16 For each of the following, indicate whether the appropriate variable would be qualitative or quantitative.If you identify the variable as quantitative, indicate whether it would be discrete or
1.15 A research firm observes that men are twice as likely as women to watch the Super Bowl on television.Does this information represent descriptive statistics or inferential statistics? Why?
1.12 What kinds of statistical data might a burglar alarm company employ in trying to convince urban homeowners to purchase its product?
1.11 Restaurants sometimes provide “customer reaction”cards so that customers can evaluate their dining experience at the establishment. What kinds of decisions might be made on the basis of this
1.10 The Snowbird Ski Lodge attracts skiers from several New England states. For each of the following scales of measurement, provide one example of information that might be relevant to the
1.9 Jeff Bowlen, a labor relations expert, has collected information on strikes in various industries.a. Jeff says, “Industry A has been harder hit by strikes than Industry B.” In what scale of
1.2 In what ways can business statistics be useful in today’s business environment?
1.1 What was the primary use of statistics in ancient times?
3. Place the frequency distribution for the new ball next to the one for the conventional ball. Does it appear that the new ball might be more “lively” than the conventional ball? Luke Thorndike,
2. Using the same intervals as in part 1, construct a frequency distribution for the distances traveled by the conventional ball. Luke Thorndike, founder and current president of Thorndike Sports
1. Using 10-yard intervals beginning with 200.0–under 210.0, 210.0–under 220.0, on up to 290.0–under 300.0, construct a frequency distribution for the distances traveled by the new ball. Luke
2.72 For the situation and data described in Exercise 2.71, and using data fi le XR02071,a. Construct a simple tabulation in which the counts are according to which company supplied the
2.71 An air-compressor manufacturer purchases mechanical components from two different suppliers (MechSup 5 1 or 2) and electrical/motor components from three different suppliers (ElectSup 5 1, 2, or
2.70 For the nations and household saving rates in Exercise 2.69, and using the data in fi le XR02069,a. Construct a scatter diagram using the household saving rates in the United States and Germany
2.69 The household saving rates (percentage of disposable household income that goes into savings) have been reported for several countries —including the United States, Canada, France, Germany,
2.68 For the law schools discussed in Exercise 2.67, and using the data in fi le XR02067,a. Construct a scatter diagram where the dependent variable is the percentage of graduates who were employed
2.67 Among the information in its top-50 list of the nation’s law schools, U.S. News & World Report provided two reputation scores (with maximum 5 5.0) for each school: one from academicians, the
2.66 If possible with your statistical software, use the dotplot method to compare the 50-state unemployment rates in 1980 with those in 2007. Use the same scale for each dotplot, then comment on
2.65 If possible with your statistical software, construct a dotplot for the data of Exercise 2.57 (use data fi le XR02057). Are there any states for which the average daily cost was so high that it
2.64 If possible with your statistical software, construct a dotplot for the data of Exercise 2.56 (use data fi le XR02056). Are there any cities for which the record high temperature is so high that
2.63 A social scientist would like to use a pictogram in comparing the number of violent crimes against persons in 2006 with the comparable fi gure for 1960. Considering that she can select from a
2.62 For the period 2001–2008, the Bristol-Myers Squibb Company, Inc. reported the following amounts (in billions of dollars) for (1) net sales and (2) advertising and product promotion. The data
2.61 The following stem-and-leaf output has been generated by Minitab. The data consist of three-digit integers.a. From this display, is it possible to determine the exact values in the original
2.60 The following stem-and-leaf output has been generated by Minitab. The data consist of two-digit integers.a. From this display, is it possible to determine the exact values in the original data?
2.59 During 2007, sales of new, privately owned homes in the total United States and in the western states were broken down into price categories as follows: Source:Bureau of the Census, Statistical
2.58 In 2007, unemployment rates in the 50 U.S. states were reported as follows. These data are also provided in the fi le XR02058.a. Construct a stem-and-leaf display for these data.b. Construct a
2.57 The average daily cost to community hospitals for patient stays during 2006 for each of the 50 U.S. states was as follows:These data are also provided in the fi le XR02057.Source: Bureau of the
2.56 The National Oceanic and Atmospheric Administration reports the following record high temperatures(degrees Fahrenheit) in 50 U.S. cities. These data are also provided in the fi le XR02056.City
2.55 The breakdown of U.S. cities having a population of at least 10,000 persons has been reported as follows.Population Number of Cities 10,000–under 25,000 1510 25,000–under 50,000 684
2.54 For the cities described in Exercise 2.53,a. Construct a simple tabulation in which the counts are according to the grade on personnel policies.b. Construct a cross-tabulation describing the

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