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business statistics using excel

Introductory Statistics 7th Edition Prem S Mann - Solutions

2.89 Statisticians often need to know the shape of a population to make inferences. Suppose that you are asked to specify the shape of the population of weights of all college students.a. Sketch a graph of what you think the weights of all college students would look like.b. The following data give
2.88 Suppose a data set contains the ages of 135 autoworkers ranging from 20 to 53 years.a. Using Sturge’s formula given in footnote 1 on page 37, find an appropriate number of classes for a frequency distribution for this data set.b. Find an appropriate class width based on the number of classes
2.87 Refer to the data presented in Exercise 2.86. Note that there were 50% more accidents in the 25 to less than 30 age group than in the 20 to less than 25 age group. Does this suggest that the older group of drivers in this city is more accident-prone than the younger group? What other
2.86 The following frequency distribution table gives the age distribution of drivers who were at fault in auto accidents that occurred during a 1-week period in a city.Age (years) f 18 to less than 20 7 20 to less than 25 12 25 to less than 30 18 30 to less than 40 14 40 to less than 50 15 50 to
2.85 The following data give the numbers of visitors during visiting hours on a given evening for each of the 20 randomly selected patients at a hospital.3 0 1 4 2 0 4 1 1 3 4 2 0 2 2 2 1 1 3 0 Create a dotplot for these data.Advanced Exercises
2.84 Twenty-four students from a university in Oregon were asked to name the five current members of the U.S. House of Representatives from their state. The following data give the numbers of correct names given by these students.5 5 1 2 4 5 3 1 5 5 0 1 2 3 5 4 3 1 5 2 5 4 5 3 Create a dotplot for
2.83 Reconsider the data on the numbers of orders received for a sample of 30 hours at the Timesaver Mail Order Company given in Exercise 2.71. Create a dotplot for those data.
2.82 Reconsider the data on the times (in minutes) taken to commute from home to work for 20 workers given in Exercise 2.53. Create a dotplot for those data.
2.81 The following table lists the average price per gallon for unleaded regular gasoline in the United States from 1999 to 2008.Average Price per Gallon Year (dollars)1999 1.136 2000 1.484 2001 1.420 2002 1.345 2003 1.561 2004 1.852 2005 2.270 2006 2.572 2007 2.796 2008 3.246 Source: Energy
2.80 The following table gives the 2008 endowments (in billions of dollars) for the six U.S. universities that had the largest endowments.Endowment University (billions of dollars)Harvard University 36.6 Yale University 22.9 Stanford University 17.2 Princeton University 16.3 University of Texas
2.79 Construct a stem-and-leaf display for the data given in Exercise 2.71.
2.78 Refer to Exercise 2.70. Prepare a stem-and-leaf display for the data of that exercise.
2.77 Construct the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions by using the frequency distribution table constructed for the data of Exercise 2.73.
2.76 Refer to Exercise 2.72. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions using the frequency distribution table constructed for the data of that exercise.
2.75 Refer to Exercise 2.71. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions using the frequency distribution table constructed for the data of that exercise.
2.74 Refer to Exercise 2.70. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions by using the frequency distribution table of that exercise.
2.73 The following data give the repair costs (in dollars) for 30 cars randomly selected from a list of cars that were involved in collisions.2300 750 2500 410 555 1576 2460 1795 2108 897 989 1866 2105 335 1344 1159 1236 1395 6108 4995 5891 2309 3950 3950 6655 4900 1320 2901 1925 6896a. Construct a
2.72 The following data give the amounts (in dollars) spent on refreshments by 30 spectators randomly selected from those who patronized the concession stands at a recent Major League Baseball game.4.95 27.99 8.00 5.80 4.50 2.99 4.85 6.00 9.00 15.75 9.50 3.05 5.65 21.00 16.60 18.00 21.77 12.35 7.75
2.71 The following data give the numbers of orders received for a sample of 30 hours at the Timesaver Mail Order Company.34 44 31 52 41 47 38 35 32 39 28 24 46 41 49 53 57 33 27 37 30 27 45 38 34 46 36 30 47 50a. Construct a frequency distribution table. Take 23 as the lower limit of the first
2.70 The following data give the amounts spent on video rentals (in dollars) during 2009 by 30 households randomly selected from those who rented videos in 2009.595 24 6 100 100 40 622 405 90 55 155 760 405 90 205 70 180 88 808 100 240 127 83 310 350 160 22 111 70 15a. Construct a frequency
2.69 Twenty-four students from universities in Connecticut were asked to name the five current members of the U.S. House of Representatives from Connecticut. The number of correct names supplied by the students are given below.4 2 3 5 5 4 3 1 5 4 4 3 5 3 2 3 1 3 2 5 2 1 5 0a. Prepare a frequency
2.68 The following data give the numbers of television sets owned by 40 randomly selected households.1 1 2 3 2 4 1 3 2 1 3 0 2 1 2 3 2 3 2 2 1 2 1 1 1 3 1 1 1 2 2 4 2 3 1 3 1 2 2 4a. Prepare a frequency distribution table for these data using single-valued classes.b. Compute the relative frequency
2.67 In a November 2008 Harris Poll, U.S. adults were asked “Will the Obama administration be too liberal or conservative?” Of the respondents, 35% said that it will be too liberal (L), 43% said that it will be neither too liberal nor too conservative (N), 4% said that it will be too
2.66 The following data give the political party of each of the first 30 U.S. presidents. In the data, D stands for Democrat, DR for Democratic Republican, F for Federalist, R for Republican, and W for Whig.F F DR DR DR DR D D W W D W W D D R D R R R R D R D R R R D R Ra. Prepare a frequency
2.65 The following table gives the number of times each of the listed players of the 2008 Philadelphia Phillies baseball team was hit by a pitch (HBP). The list includes all players with at least 150 at-bats.Player HBP Player HBP C. Utley 27 R. Howard 3 C. Coste 10 P. Burrell 1 S. Victorino 7 G.
2.64 Reconsider Exercise 2.63. The following data give the number of times each of the 20 randomly selected female students from the same state university ate at fast-food restaurants during the same 7-day period.0 0 4 2 4 10 2 5 0 5 6 1 1 4 6 2 4 5 6 0a. Create a dotplot for these data.b. Use the
2.63 The following data give the number of times each of the 20 randomly selected male students from a state university ate at fast-food restaurants during a 7-day period.5 8 10 3 5 5 10 7 2 1 10 4 5 0 10 1 2 8 3 5 Create a dotplot for these data and point out any clusters or outliers.
2.62 The following data give the number of times each of the 30 randomly selected account holders at a bank used that bank’s ATM during a 60-day period.3 2 3 2 2 5 0 4 1 3 2 3 3 5 9 0 3 2 2 15 1 3 2 7 9 3 0 4 2 2 Create a dotplot for these data and point out any clusters or outliers.
2.61 Reconsider the data on the numbers of errors found in 25 randomly selected credit reports given in Exercise 2.29. Create a dotplot for those data.
2.60 Create a dotplot for the data on the number of turnovers (fumbles and interceptions) by a college football team for games in the past two seasons given in Exercise 2.28.
2.59 Reconsider the data on the numbers of computer keyboards assembled at the Twentieth Century Electronics Company given in Exercise 2.20. Create a dotplot for those data.
2.58 Create a dotplot for the following data set.1 2 0 5 1 1 3 2 0 5 2 1 2 1 2 0 1 3 1 2 APPLICATIONS
2.57 What is a stacked dotplot, and how is it used? Explain.
2.56 Briefly explain how to prepare a dotplot for a data set. You may use an example to illustrate.
2.55 The following data give the money (in dollars) spent on textbooks by 35 students during the 2009–10 academic year.565 728 470 620 345 368 610 765 550 845 530 705 490 258 320 505 457 787 617 721 635 438 575 702 538 720 460 540 890 560 570 706 430 268 638a. Prepare a stem-and-leaf display for
2.54 The following data give the times served (in months) by 35 prison inmates who were released recently.37 6 20 5 25 30 24 10 12 20 24 8 26 15 13 22 72 80 96 33 84 86 70 40 92 36 28 90 36 32 72 45 38 18 9a. Prepare a stem-and-leaf display for these data.b. Condense the stem-and-leaf display by
2.53 These data give the times (in minutes) taken to commute from home to work for 20 workers.10 50 65 33 48 5 11 23 39 26 26 32 17 7 15 19 29 43 21 22 Construct a stem-and-leaf display for these data. Arrange the leaves for each stem in increasing order.
2.52 Refer to Exercise 2.18. Rewrite those data by rounding each median household income to the nearest thousand. For example, a median household income of $43,260 will be rounded to 43 thousand, and$50,689 will be rounded to 51 thousand. Prepare a stem-and-leaf display for these data. Arrange the
2.51 Reconsider the data on the numbers of computer keyboards assembled at the Twentieth Century Electronics Company given in Exercise 2.20. Prepare a stem-and-leaf display for those data. Arrange the leaves for each stem in increasing order.
2.50 Reconsider the data on the numbers of computer monitors produced at the Nixon Corporation for a sample of 30 days given in Exercise 2.19. Prepare a stem-and-leaf display for those data. Arrange the leaves for each stem in increasing order.
2.49 Following are the total yards gained rushing during the 2009 season by 14 running backs of 14 college football teams.745 921 1133 1024 848 775 800 1009 1275 857 933 1145 967 995 Prepare a stem-and-leaf display. Arrange the leaves for each stem in increasing order.
2.48 The following data give the time (in minutes) that each of 20 students waited in line at their bookstore to pay for their textbooks in the beginning of Spring 2009 semester. (Note: To prepare a stem-andleaf display, each number in this data set can be written as a two-digit number. For
2.46 Consider this stem-and-leaf display.4 3 6 5 0 1 4 5 6 3 4 6 7 7 7 8 9 7 2 2 3 5 6 6 9 8 0 7 8 9 Write the data set that is represented by the display.2.47 Consider this stem-and-leaf display.2–3 18 45 56 * 29 67 83 97 4–5 04 27 33 71 * 23 37 51 63 81 92 6–8 22 36 47 55 78 89 * * 10 41
2.45 What advantage does preparing a stem-and-leaf display have over grouping a data set using a frequency distribution? Give one example.
2.44 Briefly explain how to prepare a stem-and-leaf display for a data set. You may use an example to illustrate.
2.43 Refer to the frequency distribution table constructed in Exercise 2.27. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions. Draw an ogive for the cumulative frequency distribution. Using the ogive, find the (approximate) number of teams
2.42 Using the frequency distribution table constructed for the data of Exercise 2.21, prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions. Draw an ogive for the cumulative frequency distribution. Using the ogive, find the (approximate) number of
2.41 Refer to the frequency distribution table constructed in Exercise 2.26. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions by using that table.
2.40 Using the frequency distribution table constructed for the data of Exercise 2.25, prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions.
2.39 Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions using the frequency distribution constructed in Exercise 2.23.
2.38 Using the frequency distribution table constructed in Exercise 2.20, prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions.
2.37 Using the frequency distribution table constructed in Exercise 2.19, prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions.
2.36 Using the frequency distribution table constructed in Exercise 2.18, prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions.
2.35 The following table, reproduced from Exercise 2.15, gives the frequency distribution of ages for all 50 employees of a company.Age Number of Employees 18 to 30 12 31 to 43 19 44 to 56 14 57 to 69 5a. Prepare a cumulative frequency distribution table.b. Calculate the cumulative relative
2.34 The following table, reproduced from Exercise 2.14, gives the frequency distribution of the number of credit cards possessed by 80 adults.Number of Credit Cards Number of Adults 0 to 3 18 4 to 7 26 8 to 11 22 12 to 15 11 16 to 19 3a. Prepare a cumulative frequency distribution.b. Calculate the
2.33 Explain for what kind of frequency distribution an ogive is drawn. Can you think of any use for an ogive? Explain.
2.32 Briefly explain the concept of cumulative frequency distribution. How are the cumulative relative frequencies and cumulative percentages calculated?
2.31 Eighty adults were asked to watch a 30-minute infomercial until the presentation ended or until boredom became intolerable. The following table lists the frequency distribution of the times that these adults were able to watch the infomercial.Time Number of(minutes) Adults 0 to less than 6 16
2.30 The following table gives the frequency distribution for the numbers of parking tickets received on the campus of a university during the past week for 200 students.Number of Tickets Number of Students 0 59 1 44 2 37 3 32 4 28 Draw two bar graphs for these data, the first without truncating
2.29 According to a survey by the U.S. Public Interest Research Group, about 79% of credit reports contain errors. Suppose in a random sample of 25 credit reports, the number of errors found are as listed below.1 0 2 3 0 1 0 5 4 1 0 2 1 4 1 2 2 0 3 1 0 0 1 2 3a. Prepare a frequency distribution
2.28 The following data give the number of turnovers (fumbles and interceptions) by a college football team for each game in the past two seasons.3 2 1 4 0 2 2 1 0 3 2 3 0 2 3 1 4 1 3 2 4 0 1 2a. Prepare a frequency distribution table for these data using single-valued classes.b. Calculate the
2.27 The accompanying table lists the offensive points scored per game (PPG) by each of the 16 teams in the American Football Conference (AFC) of the National Football League (NFL) during the 2008 season.Team PPG Team PPG Baltimore 24.1 Kansas City 18.2 Buffalo 21.0 Miami 21.6 Cincinnati 12.8 New
2.26a. Prepare a frequency distribution table for non-Hodgkin lymphoma rates for women.b. Construct the relative frequency and percentage distribution columns.c. Draw a histogram and polygon for the relative frequency distribution.
2.25a. Prepare a frequency distribution table for lung and bronchus cancer rates for men.b. Construct the relative frequency and percentage distribution columns.c. Draw a histogram and polygon for the relative frequency distribution.
2.24a. Prepare a frequency distribution table for lung and bronchus cancer rates for women.b. Construct the relative frequency and percentage distribution columns.c. Draw a histogram and polygon for the relative frequency distribution.
2.23a. Prepare a frequency distribution table for colon and rectum cancer rates for men using six classes of equal width.b. Construct the relative frequency and percentage distribution columns.
2.22a. Prepare a frequency distribution table for colon and rectum cancer rates for women using six classes of equal width.b. Construct the relative frequency and percentage distribution columns.
2.21 Since 1996, Slate.com has determined the Slate 60, which is a list of the largest American charitable contributions by individuals each year. The accompanying table gives the names of the 22 persons and the money they donated in 2008.Donation Donor (millions of dollars)Harold Alfond 360 Donald
2.20 The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.45 52 48 41 56 46 44 42 48 53 51 53 51 48 46 43 52 50 54 47 44 47 50 49 52a. Make the frequency distribution table for these data.b. Calculate the relative
2.19 Nixon Corporation manufactures computer monitors. The following data are the numbers of computer monitors produced at the company for a sample of 30 days.24 32 27 23 33 33 29 25 23 28 21 26 31 22 27 33 27 23 28 29 31 35 34 22 26 28 23 35 31 27a. Construct a frequency distribution table using
2.18 The accompanying table lists the 2006–07 median household incomes (rounded to the nearest dollar), for all 50 states and the District of Columbia.2006–07 Median 2006–07 Median State Household Income State Household Income AL 40,620 AK 60,506 AZ 47,598 AR 39,452 CA 56,311 CO 59,209 CT
2.17 A data set on monthly expenditures (rounded to the nearest dollar) incurred on fast food by a sample of 500 households has a minimum value of $3 and a maximum value of $147. Suppose we want to group these data into six classes of equal widths.a. Assuming that we take the lower limit of the
2.16 A data set on money spent on lottery tickets during the past year by 200 households has a lowest value of $1 and a highest value of $1167. Suppose we want to group these data into six classes of equal widths.a. Assuming that we take the lower limit of the first class as $1 and the width of
2.15 The following table gives the frequency distribution of ages for all 50 employees of a company.Age Number of Employees 18 to 30 12 31 to 43 19 44 to 56 14 57 to 69 5a. Find the class boundaries and class midpoints.b. Do all classes have the same width? If yes, what is that width?c. Prepare the
2.14 A sample of 80 adults was taken, and these adults were asked about the number of credit cards they possess. The following table gives the frequency distribution of their responses.Number of Credit Cards Number of Adults 0 to 3 18 4 to 7 26 8 to 11 22 12 to 15 11 16 to 19 3a. Find the class
2.13 Three methods—writing classes using limits, using the less-than method, and grouping data using single-valued classes—were discussed to group quantitative data into classes. Explain these three methods and give one example of each. APPLICATIONS
2.12 How are the relative frequencies and percentages of classes obtained from the frequencies of classes?Illustrate with the help of an example.
2.11 Briefly explain the three decisions that have to be made to group a data set in the form of a frequency distribution table.
2.10 In exit polls taken during the 2008 presidential election, voters were asked to provide their education levels. The table below summarizes their responses.Education Level Percentage of Responses Not a high school graduate 4 High school graduate 20 Some college education 31 College graduate 28
2.9 In a January 27, 2009 Harris Poll (Harris Interactive Inc, January 2009), U.S. adults who follow at least one sport were asked to name their favorite sport. The table below summarizes their responses.Favorite Sport Percentage of Responses Pro football 31 Baseball 16 College football 12 Auto
2.8 The following data show the method of payment by 16 customers in a supermarket checkout line.Here, C refers to cash, CK to check, CC to credit card, and D to debit card, and O stands for other.C CK CK C CC D O C CK CC D CC C CK CK CCa. Construct a frequency distribution table.b. Calculate the
2.7 In a USA TODAY survey, registered dietitians with the American Dietetic Association were asked,“What is the major reason people want to lose weight?” The responses were classified as Health (H), Cosmetic (C), and Other (O). Suppose a random sample of 20 dietitians is taken and these
2.6 Thirty adults were asked which of the following conveniences they would find most difficult to do without: television (T), refrigerator (R), air conditioning (A), public transportation (P), or microwave (M).Their responses are listed below.R A R P P T R M P A A R R T P P T R A A R P A T R P R A
2.5 The data on the status of 50 students given in Table 2.2 of Section 2.1 are reproduced here.J F SO SE J J SE J J J F F J F F F SE SO SE J J F SE SO SO F J F SE SE SO SE J SO SO J J SO F SO SE SE F SE J SO F J SO SOa. Prepare a frequency distribution table.b. Calculate the relative frequencies
2.4 The following data give the results of a sample survey. The letters Y, N, and D represent the three categories.D N N Y Y Y N Y D Y Y Y Y Y N Y Y N N Y N Y Y N D N Y Y Y Y Y Y N N Y Y N N D Ya. Prepare a frequency distribution table.b. Calculate the relative frequencies and percentages for all
2.3 The following data give the results of a sample survey. The letters A, B, and C represent the three categories.A B B A C B C C C A C B C A C C B C C A A B C C B C B A C Aa. Prepare a frequency distribution table.b. Calculate the relative frequencies and percentages for all categories.c. What
2.2 How are the relative frequencies and percentages of categories obtained from the frequencies of categories? Illustrate with the help of an example.
2.1 Why do we need to group data in the form of a frequency table? Explain briefly.
7. The following table lists five pairs of m and f values.m 3 6 9 12 15 f 15 25 40 20 12 Calculatea. mb. fc. m2d. mfe. m2ff. f 2
6. The number of credit cards possessed by five couples is 2, 5, 3, 12, and 7, respectively. Let x be the number of credit cards possessed by a couple. Find:a.b. c.
5. The following table contains data on the 10 biggest Nasdaq losers of October 2008. The first column in the table contains the names of the companies and their NASDAQ symbols, and the second column gives the returns for the stocks of these companies for the month of October 2008.Company (NASDAQ
4. Indicate which of the following variables are quantitative and which are qualitative. Classify the quantitative variables as discrete or continuous.a. Women’s favorite TV programsb. Salaries of football playersc. Number of pets owned by familiesd. Favorite breed of dog for each of 20 persons
3. Indicate which of the following is an example of a sample with replacement and which is a sample without replacement.a. Five friends go to a livery stable and select five horses to ride (each friend must choose a different horse).b. A box contains five marbles of different colors. A marble is
2. A sample in statistics means a portion of thea. people selected from the population of a countryb. people selected from the population of an areac. population of interest
1. A population in statistics means a collection of alla. men and womenb. subjects or objects of interestc. people living in a country
1.40 The following table lists six pairs of x and y values.x 7 11 8 4 14 28 y 5 15 7 10 9 19 Compute the value of each of the following:a. yb. x2c. xyd. x2ye. y2
1.39 The following table lists five pairs of m and f values.m 3 16 11 9 20 f 7 32 17 12 34 Compute the value of each of the following:a.b. c.d. e.
1.38 The number of restaurants in each of five small towns is 4, 12, 8, 10, and 5, respectively. Let y denote the number of restaurants in a small town. Find:a.b. c.
1.37 The number of shoe pairs owned by six women is 8, 14, 3, 7, 10, and 5, respectively. Let x denote the number of shoe pairs owned by a woman. Find:a.b. c.
1.36 State which of the following is an example of sampling with replacement and which is an example of sampling without replacement.a. Selecting seven cities to market a new deodorantb. Selecting a high school teacher to drive students to a lecture in March, then selecting a teacher from the same

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