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Basic Statistics for Business & Economics

Douglas A. Lind, William G.Marchal, Samuel A. Wathen

Chapter 4

Describing Data: Displaying and Exploring Data - all with Video Answers

Educators


Chapter Questions

02:01

Problem 1

Describe the differences between a histogram and a dot plot. When might a dot plot be better than a histogram?

Jon Southam
Jon Southam
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00:56

Problem 2

When are dot plots most useful?

Jon Southam
Jon Southam
Numerade Educator
01:08

Problem 3

Consider the following chart.
a. What is this chart called?
b. How many observations are in the study?
c. What are the maximum and the minimum values?
d. Around what values do the observations tend to cluster?

Jon Southam
Jon Southam
Numerade Educator
02:08

Problem 4

The following chart reports the number of cell phones sold at a big-box retail store for the last 26 days.
a. What are the maximum and the minimum numbers of cell phones sold in a day?
b. What is a typical number of cell phones sold?

Jon Southam
Jon Southam
Numerade Educator
01:50

Problem 5

Determine the median and the first and third quartiles in the following data.
$$
\begin{array}{|lllllllllll|}
\hline 46 & 47 & 49 & 49 & 51 & 53 & 54 & 54 & 55 & 55 & 59 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
03:10

Problem 6

Determine the median and the first and third quartiles in the following data.
$$
\begin{array}{|lllllllllllllll|}
\hline 5.24 & 6.02 & 6.67 & 7.30 & 7.59 & 7.99 & 8.03 & 8.35 & 8.81 & 9.45 \\
9.61 & 10.37 & 10.39 & 11.86 & 12.22 & 12.71 & 13.07 & 13.59 & 13.89 & 15.42 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
01:57

Problem 7

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices.
$$
\begin{array}{|lllllllllllllll|}
\hline 13 & 13 & 13 & 20 & 26 & 27 & 31 & 34 & 34 & 34 & 35 & 35 & 36 & 37 & 38 \\
41 & 41 & 41 & 45 & 47 & 47 & 47 & 50 & 51 & 53 & 54 & 56 & 62 & 67 & 82 \\
\hline
\end{array}
$$
a. Determine the first and third quartiles.
b. Determine the second decile and the eighth decile.
c. Determine the 6 7th percentile.

Alexander Cheng
Alexander Cheng
Numerade Educator
06:45

Problem 8

Kevin Horn is the national sales manager for National Textbooks Inc. He has a sales staff of 40 who visit college professors all over the United States. Each Saturday morning, he requires his sales staff to send him a report. This report includes, among other things, the number of professors visited during the previous week. Listed below, ordered from smallest to largest, are the number of visits last week.
$$
\begin{array}{|cccccccccccccccccccc|}
\hline 38 & 40 & 41 & 45 & 48 & 48 & 50 & 50 & 51 & 51 & 52 & 52 & 53 & 54 & 55 & 55 & 55 & 56 & 56 & 57 \\
59 & 59 & 59 & 62 & 62 & 62 & 63 & 64 & 65 & 66 & 66 & 67 & 67 & 69 & 69 & 71 & 77 & 78 & 79 & 79 \\
\hline
\end{array}
$$
a. Determine the median number of calls.
b. Determine the first and third quartiles.
c. Determine the first decile and the ninth decile.
d. Determine the 3 3rd percentile.

Jon Southam
Jon Southam
Numerade Educator
05:40

Problem 9

The box plot below shows the amount spent for books and supplies per year by students at four-year public colleges.
a. Estimate the median amount spent.
b. Estimate the first and third quartiles for the amount spent.
c. Estimate the interquartile range for the amount spent.
d. Beyond what point is a value considered an outlier?
e. Identify any outliers and estimate their values.
f. Is the distribution symmetrical or positively or negatively skewed?

Jon Southam
Jon Southam
Numerade Educator
03:58

Problem 10

The box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges.
a. Estimate the median.
b. Estimate the first and third quartiles.
c. Determine the interquartile range.
d. Beyond what point is a value considered an outlier?
e. Identify any outliers and estimate their values.
f. Is the distribution symmetrical or positively or negatively skewed?

Jon Southam
Jon Southam
Numerade Educator
02:40

Problem 11

In a study of the gasoline mileage of model year 2017 automobiles, the mean miles per gallon was 27.5 and the median was 26.8 . The smallest value in the study was 12.70 miles per gallon, and the largest was $50.20 .$ The first and third quartiles were 17.95 and 35.45 miles per gallon, respectively. Develop a box plot and comment on the distribution. Is it a symmetric distribution?

Jon Southam
Jon Southam
Numerade Educator
05:56

Problem 12

A sample of 28 time-shares in the Orlando, Florida, area revealed the following daily charges for a one-bedroom suite. For convenience, the data are ordered from smallest to largest. Construct a box plot to represent the data. Comment on the distribution. Be sure to identify the first and third quartiles and the median.
$$
\begin{array}{|lllllllllllllll|}
\hline 116 & \$ 121 & \$ 157 & \$ 192 & \$ 207 & \$ 209 & \$ 209 \\
229 & 232 & 236 & 236 & 239 & 243 & 246 \\
260 & 264 & 276 & 281 & 283 & 289 & 296 \\
307 & 309 & 312 & 317 & 324 & 341 & 353 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
04:27

Problem 13

a. Determine the mean, median, and the standard deviation.
b. Determine the coefficient of skewness using Pearson's method.
c. Determine the coefficient of skewness using the software method.
The following values are the starting salaries, in 000 dollar, for a sample of five accounting graduates who accepted positions in public accounting last year.
$$
\begin{array}{|lllll|}
\hline 36.0 & 26.0 & 33.0 & 28.0 & 31.0 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
04:27

Problem 14

a. Determine the mean, median, and the standard deviation.
b. Determine the coefficient of skewness using Pearson's method.
c. Determine the coefficient of skewness using the software method.
Listed below are the salaries, in 000 dollar, for a sample of 15 chief financial officers in the electronics industry.
$$
\begin{array}{|lllllllllllllll|}
\hline \$ 516.0 & \$ 548.0 & \$ 566.0 & \$ 534.0 & \$ 586.0 & \$ 529.0 \\
546.0 & 523.0 & 538.0 & 523.0 & 551.0 & 552.0 \\
486.0 & 558.0 & 574.0 & & & \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
03:31

Problem 15

a. Determine the mean, median, and the standard deviation.
b. Determine the coefficient of skewness using Pearson's method.
c. Determine the coefficient of skewness using the software method.
Listed below are the commissions earned (000 dollar) last year by the 15 sales representatives at Furniture Patch Inc.
$$
\begin{array}{|lllllllllllllll|}
\hline \$ 3.9 & \$ 5.7 & \$ 7.3 & \$ 10.6 & \$ 13.0 & \$ 13.6 & \$ 15.1 & \$ 15.8 & \$ 17.1 \\
17.4 & 17.6 & 22.3 & 38.6 & 43.2 & 87.7 & & &\\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
04:02

Problem 16

a. Determine the mean, median, and the standard deviation.
b. Determine the coefficient of skewness using Pearson's method.
c. Determine the coefficient of skewness using the software method.
Listed below are the salaries for the 2016 New York Yankees Major League Baseball team.
$$
\begin{array}{|lclr|}
\hline \text { Player } & \text { Salary } & \text { Player } & \text { Salary } \\
\hline \text { CC Sabathia } & \$ 25,000,000 & \text { Dustin Ackley } & \$ 3,200,000 \\
\text { Mark Teixeira } & 23,125,000 & \text { Martin Prado } & 3,000,000 \\
\text { Masahiro Tanaka } & 22,000,000 & \text { Didi Gregorius } & 2,425,000 \\
\text { Jacoby Ellsbury } & 21,142,857 & \text { Aaron Hicks } & 574,000 \\
\text { Alex Rodriguez } & 21,000,000 & \text { Austin Romine } & 556,000 \\
\text { Brian McCann } & 17,000,000 & \text { Chasen Shreve } & 533,400 \\
\text { Carlos Beltran } & 15,000,000 & \text { Greg Bird } & 525,300 \\
\text { Brett Gardner } & 13,500,000 & \text { Luis Severino } & 521,300 \\
\text { Chase Headley } & 13,000,000 & \text { Bryan Mitchell } & 516,650 \\
\text { Aroldis Chapman } & 11,325,000 & \text { Kirby Yates } & 511,900 \\
\text { Andrew Miller } & 9,000,000 & \text { Mason Williams } & 509,700 \\
\text { Starlin Castro } & 7,857,143 & \text { Ronald Torreyes } & 508,600 \\
\text { Nathan Eovaldi } & 5,600,000 & \text { John Barbato } & 507,500 \\
\text { Michael Pineda } & 4,300,000 & \text { Dellin Betances } & 507,500 \\
\text { Ivan Nova } & 4,100,000 & \text { Luis Cessa } & 507,500 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
01:13

Problem 17

FILE Develop a scatter diagram for the following sample data. How would you describe the relationship between the values?
$$
\begin{array}{|rccc|}
\hline \boldsymbol{x} \text { -Value } & \boldsymbol{y} \text { -Value } & \boldsymbol{x} \text { -Value } & \boldsymbol{y} \text { -Value } \\
\hline 10 & 6 & 11 & 6 \\
8 & 2 & 10 & 5 \\
9 & 6 & 7 & 2 \\
11 & 5 & 7 & 3 \\
13 & 7 & 11 & 7 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
02:04

Problem 18

Silver Springs Moving and Storage Inc. is studying the relationship between the number of rooms in a move and the number of labor hours required for the move. As part of the analysis, the CFO of Silver Springs developed the following scatter diagram.
a. How many moves are in the sample?
b. Does it appear that more labor hours are required as the number of rooms increases, or do labor hours decrease as the number of rooms increases?

Jon Southam
Jon Southam
Numerade Educator
03:36

Problem 19

The Director of Planning for Devine Dining Inc. wishes to study the relationship between the gender of a guest and whether the guest orders dessert. To investigate the relationship, the manager collected the following information on 200 recent customers.
$$
\begin{array}{|cccc|}
\hline
&{\text { Gender }} \\
\hline \text { Dessert Ordered } & \text { Male } & \text { Female } & \text { Total } \\
\hline \text { Yes } & 32 & 15 & 47 \\
\text { No } & 68 & 85 & 153 \\
\hline \text { Total } & 100 & \frac{85}{100} & \frac{153}{200} \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
02:39

Problem 20

Ski Resorts of Vermont Inc. is considering a merger with Gulf Shores Beach Resorts Inc. of Alabama. The board of directors surveyed 50 stockholders concerning their position on the merger. The results are reported below.
$$
\begin{array}{|ccccc|}
\hline &&{\text { Opinion }} & \\
\hline \text { Number of Shares Held } & \text { Favor } & \text { Oppose } & \text { Undecided } & \text { Total } \\
\hline \text { Under 200 } & 8 & 6 & 2 & 16 \\
200 \text { up to } 1,000 & 6 & 8 & 1 & 15 \\
\text { Over 1,000 } & 6 & 12 & 1 & 19 \\
\text { Total } & 20 & 26 & 4 & 50 \\
\hline
\end{array}
$$
a. What level of measurement is used in this table?
b. What is this table called?
c. What group seems most strongly opposed to the merger?

Jon Southam
Jon Southam
Numerade Educator
01:08

Problem 21

A sample of students attending Southeast Florida University is asked the number of social activities in which they participated last week. The chart below was prepared from the sample data.
a. What is the name given to this chart?
b. How many students were in the study?
c. How many students reported attending no social activities?

Matthew Wagner
Matthew Wagner
Numerade Educator
04:32

Problem 22

Doctor's Care is a walk-in clinic, with locations in Georgetown, Moncks Corner, and Aynor, at which patients may receive treatment for minor injuries, colds, and flu, as well as physical examinations. The following charts report the number of patients treated in each of the three locations last month. Describe the number of patients served at the three locations each day. What are the maximum and minimum numbers of patients served at each of the locations?

Jon Southam
Jon Southam
Numerade Educator
09:10

Problem 23

In recent years, due to low interest rates, many homeowners refinanced their home mortgages. Linda Lahey is a mortgage officer at Down River Federal Savings and Loan. Below is the amount refinanced for 20 loans she processed last week. The data are reported in thousands of dollars and arranged from smallest to largest.
$$
\begin{array}{|rrrrrrrrr|}
\hline59.2 & 59.5 & 61.6 & 65.5 & 66.6 & 72.9 & 74.8 & 77.3 & 79.2 \\
83.7 & 85.6 & 85.8 & 86.6 & 87.0 & 87.1 & 90.2 & 93.3 & 98.6 \\
100.2 & 100.7 & & & & & & & \\
\hline
\end{array}
$$
a. Find the median, first quartile, and third quartile.
b. Find the 26 th and 83 rd percentiles.
c. Draw a box plot of the data.

Jon Southam
Jon Southam
Numerade Educator
13:39

Problem 24

A study is made by the recording industry in the United States of the number of music CDs owned by 25 senior citizens and 30 young adults. The information is reported below.
$$
\begin{array}{|rrrrrrrrrrr|}
\hline&&&&{\text { Gender }} \\
\hline 28 & 35 & 41 & 48 & 52 & 81 & 97 & 98 & 98 & 99 \\
118 & 132 & 133 & 140 & 145 & 147 & 153 & 158 & 162 & 174 \\
177 & 180 & 180 & 187 & 188 & & & & & \\
\hline
\end{array}
$$
$$
\begin{array}{|rrrrrrrrrr|}
\hline&&&&{\text { Young Adults }} \\
\hline 81 & 107 & 113 & 147 & 147 & 175 & 183 & 192 & 202 & 209 \\
233 & 251 & 254 & 266 & 283 & 284 & 284 & 316 & 372 & 401 \\
417 & 423 & 490 & 500 & 507 & 518 & 550 & 557 & 590 & 594 \\
\hline
\end{array}
$$
a. Find the median and the first and third quartiles for the number of CDs owned by senior citizens. Develop a box plot for the information.
b. Find the median and the first and third quartiles for the number of CDs owned by young adults. Develop a box plot for the information.
c. Compare the number of CDs owned by the two groups.

Teresa Wray
Teresa Wray
Numerade Educator
06:00

Problem 25

The corporate headquarters of Bank.com, an online banking company, is located in downtown Philadelphia. The director of human resources is making a study of the time it takes employees to get to work. The city is planning to offer incentives to each downtown employer if they will encourage their employees to use public transportation. Below is a listing of the time to get to work this morning according to whether the employee used public transportation or drove a car.
$$
\begin{array}{|llllllllll|}
\hline &&&&{\text { Public Transportation }} \\
\hline 23 & 25 & 25 & 30 & 31 & 31 & 32 & 33 & 35 & 36 \\
37 & 42 & & & & & & \\
\hline
\end{array}
$$
$$
\begin{array}{|llllllllll|}
\hline && && {\text { Private }} \\
\hline 32 & 32 & 33 & 34 & 37 & 37 & 38 & 38 & 38 & 39 \\
40 & 44 & & & & & & & \\
\hline
\end{array}
$$
a. Find the median and the first and third quartiles for the time it took employees using public transportation. Develop a box plot for the information.
b. Find the median and the first and third quartiles for the time it took employees who drove their own vehicle. Develop a box plot for the information.
c. Compare the times of the two groups.

Jon Southam
Jon Southam
Numerade Educator
02:15

Problem 26

The following box plot shows the number of daily newspapers published in each state and the District of Columbia. Write a brief report summarizing the number published. Be sure to include information on the values of the first and third quartiles, the median, and whether there is any skewness. If there are any outliers, estimate their value.

Jerelyn Nevil
Jerelyn Nevil
Numerade Educator
03:02

Problem 27

Walter Gogel Company is an industrial supplier of fasteners, tools, and springs. The amounts of its invoices vary widely, from less than $\$ 20.00$ to more than $\$ 400.00$. During the month of January, the company sent out 80 invoices. Here is a box plot of these invoices. Write a brief report summarizing the invoice amounts. Be sure to include information on the values of the first and third quartiles, the median, and whether there is any skewness. If there are any outliers, approximate the value of these invoices.

Jon Southam
Jon Southam
Numerade Educator
06:16

Problem 28

The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization consists of the 40 components listed below.
$$
\begin{array}{|lclc|}
\hline \text { State/Region } & \text { Membership } & \text { State/Region } & \text { Membership } \\
\hline \text { Alabama } & 95 & \text { New Jersey, Bermuda } & 517 \\
\text { Arizona } & 399 & \text { Alaska, Idaho, Montana, } & \\
\text { Maryland, Delaware, DC } & 531 & \text { Oregon, Washington } & 708 \\
\text { Connecticut } & 239 & \text { New York } & 891 \\
\text { Florida } & 631 & \text { Ohio } & 708 \\
\text { Georgia } & 384 & \text { Oklahoma } & 171 \\
\text { Hawaii } & 73 & \text { Arkansas } & 68 \\
\text { Illinois } & 562 & \text { California } & 1,165 \\
\text { Indiana } & 270 & \text { New Mexico } & 79 \\
\text { lowa } & 117 & \text { Pennsylvania } & 575 \\
\text { Kentucky } & 197 & \text { Rhode Island } & 53 \\
\text { Louisiana } & 258 & \text { Colorado } & 409 \\
\text { Michigan } & 411 & \text { South Carolina } & 237 \\
\text { Massachusetts } & 480 & \text { Texas } & 1,026 \\
\text { Maine } & 97 & \text { Tennessee } & 167 \\
\text { Minnesota, Dakotas } & 289 & \text { Utah } & 67 \\
\text { Missouri, Kansas } & 282 & \text { Virginia } & 414 \\
\text { Mississippi } & 90 & \text { Vermont, } & \\
\text { Nebraska } & 115 & \text { New Hampshire } & 144 \\
\text { North Carolina } & 542 & \text { Wisconsin } & 311 \\
\text { Nevada } & 106 & \text { West Virginia } & 62 \\
\hline
\end{array}
$$
Use statistical software to answer the following questions.
a. Find the mean, median, and standard deviation of the number of members per component.
b. Find the coefficient of skewness, using the software. What do you conclude about the shape of the distribution of component size?
c. Compute the first and third quartiles using formula $(4-1)$.
d. Develop a box plot. Are there any outliers? Which components are outliers? What are the limits for outliers?

Jon Southam
Jon Southam
Numerade Educator
07:02

Problem 29

McGivern Jewelers is located in the Levis Square Mall just south of Toledo, Ohio. Recently it posted an advertisement on a social media site reporting the shape, size, price, and cut grade for 33 of its diamonds currently in stock. The information is reported below.
$$
\begin{array}{|lccl|}
\hline \text { Shape } & \text { Size (carats) } & \text { Price } & \text { Cut Grade } \\
\hline \text { Princess } & 5.03 & \$ 44,312 & \text { Ideal cut } \\
\text { Round } & 2.35 & 20,413 & \text { Premium cut } \\
\text { Round } & 2.03 & 13,080 & \text { Ideal cut } \\
\text { Round } & 1.56 & 13,925 & \text { Ideal cut } \\
\text { Round } & 1.21 & 7,382 & \text { Ultra ideal cut } \\
\text { Round } & 1.21 & 5,154 & \text { Average cut } \\
\text { Round } & 1.19 & 5,339 & \text { Premium cut } \\
\text { Emerald } & 1.16 & 5,161 & \text { Ideal cut } \\
\text { Round } & 1.08 & 8,775 & \text { Ultra ideal cut } \\
\text { Round } & 1.02 & 4,282 & \text { Premium cut } \\
\text { Round } & 1.02 & 6,943 & \text { Ideal cut } \\
\text { Marquise } & 1.01 & 7,038 & \text { Good cut } \\
\text { Princess } & 1.00 & 4,868 & \text { Premium cut } \\
\text { Round } & 0.91 & 5,106 & \text { Premium cut } \\
\text { Round } & 0.90 & 3,921 & \text { Good cut } \\
\text { Round } & 0.90 & 3,733 & \text { Premium cut } \\
\text { Round } & 0.84 & 2,621 & \text { Premium cut }\\
\hline
\end{array}
$$
$$
\begin{array}{|lccl|}
\hline
\text { Shape } & \text { Size (carats) } & \text { Price } & \text { Cut Grade } \\
\hline \text { Round } & 0.77 & \$ 2,828 & \text { Ultra ideal cut } \\
\text { Oval } & 0.76 & 3,808 & \text { Premium cut } \\
\text { Princess } & 0.71 & 2,327 & \text { Premium cut } \\
\text { Marquise } & 0.71 & 2,732 & \text { Good cut } \\
\text { Round } & 0.70 & 1,915 & \text { Premium cut } \\
\text { Round } & 0.66 & 1,885 & \text { Premium cut } \\
\text { Round } & 0.62 & 1,397 & \text { Good cut } \\
\text { Round } & 0.52 & 2,555 & \text { Premium cut } \\
\text { Princess } & 0.51 & 1,337 & \text { Ideal cut } \\
\text { Round } & 0.51 & 1,558 & \text { Premium cut } \\
\text { Round } & 0.45 & 1,191 & \text { Premium cut } \\
\text { Princess } & 0.44 & 1,319 & \text { Average cut } \\
\text { Marquise } & 0.44 & 1,319 & \text { Premium cut } \\
\text { Round } & 0.40 & 1,133 & \text { Premium cut } \\
\text { Round } & 0.35 & 1,354 & \text { Good cut } \\
\text { Round } & 0.32 & 896 & \text { Premium cut }\\
\hline
\end{array}
$$
a. Develop a box plot of the variable price and comment on the result. Are there any outliers? What is the median price? What are the values of the first and the third quartiles?
b. Develop a box plot of the variable size and comment on the result. Are there any outliers? What is the median price? What are the values of the first and the third quartiles?
c. Develop a scatter diagram between the variables price and size. Be sure to put price on the vertical axis and size on the horizontal axis. Does there seem to be an association between the two variables? Is the association direct or indirect? Does any point seem to be different from the others?
d. Develop a contingency table for the variables shape and cut grade. What is the most common cut grade? What is the most common shape? What is the most common combination of cut grade and shape?

Jon Southam
Jon Southam
Numerade Educator
02:53

Problem 30

Listed below is the amount of commissions earned last month for the eight members of the sales staff at Best Electronics. Calculate the coefficient of skewness using both methods. Hint: Use of a spreadsheet will expedite the calculations.
$$
\begin{array}{|llllllll|}
\hline
980.9 & 1,036.5 & 1,099.5 & 1,153.9 & 1,409.0 & 1,456.4 & 1,718.4 & 1,721.2\\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
02:04

Problem 31

Listed below is the number of car thefts in a large city over the last week. Calculate the coefficient of skewness using both methods. Hint: Use of a spreadsheet will expedite the calculations.
$$
\begin{array}{|lllllll|}
\hline3 & 12 & 13 & 7 & 8 & 3 & 8 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
02:00

Problem 32

The manager of Information Services at Wilkin Investigations, a private investigation firm, is studying the relationship between the age (in months) of a combination printer, copier, and fax machine and its monthly maintenance cost. For a sample of 15 machines, the manager developed the following chart. What can the manager conclude about the relationship between the variables?

Jon Southam
Jon Southam
Numerade Educator
01:34

Problem 33

An auto insurance company reported the following information regarding the age of a driver and the number of accidents reported last year. Develop a scatter diagram for the data and write a brief summary.
$$
\begin{array}{|lccc|}
\hline \text { Age } & \text { Accidents } & \text { Age } & \text { Accidents } \\
\hline 16 & 4 & 23 & 0 \\
24 & 2 & 27 & 1 \\
18 & 5 & 32 & 1 \\
17 & 4 & 22 & 3 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
04:57

Problem 34

Wendy's offers eight different condiments (mustard, ketchup, onion, mayonnaise, pickle, lettuce, tomato, and relish) on hamburgers. A store manager collected the following information on the number of condiments ordered and the age group of the customer. What can you conclude regarding the information? Who tends to order the most or least number of condiments?
$$
\begin{array}{|ccccc|}
\hline &&{\text { Age }} \\
\text { Number of Condiments } & \text { Under } 18 & 18 \text { up to } 40 & 40 \text { up to } 60 & 60 \text { or Older } \\
\hline 0 & 12 & 18 & 24 & 52 \\
1 & 21 & 76 & 50 & 30 \\
2 & 39 & 52 & 40 & 12 \\
3 \text { or more } & 71 & 87 & 47 & 28 \\
\hline
\end{array}
$$

Jon Southam
Jon Southam
Numerade Educator
View

Problem 35

Here is a table showing the number of employed and unemployed workers 20 years or older by gender in the United States.
$$
\begin{array}{|lcc|}
\hline & {\text { Number of Workers (000) }} \\
\text { Gender } & \text { Employed } & \text { Unemployed } \\
\hline \text { Men } & 70,415 & 4,209 \\
\text { Women } & 61,402 & 3,314 \\
\hline
\end{array}
$$
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.

Donna Densmore
Donna Densmore
Numerade Educator
06:12

Problem 36

Refer to the North Valley real estate data recorded on homes sold during the last year. Prepare a report on the selling prices of the homes based on the answers to the following questions.
a. Compute the minimum, maximum, median, and the first and the third quartiles of price. Create a box plot. Comment on the distribution of home prices.
b. Develop a scatter diagram with price on the vertical axis and the size of the home on the horizontal. Is there a relationship between these variables? Is the relationship direct or indirect?
c. For homes without a pool, develop a scatter diagram with price on the vertical axis and the size of the home on the horizontal. Do the same for homes with a pool. How do the relationships between price and size for homes without a pool and homes with a pool compare?

Jon Southam
Jon Southam
Numerade Educator
06:31

Problem 37

Refer to the Baseball 2016 data that report information on the 30 Major League Baseball teams for the 2016 season.
a. In the data set, the year opened is the first year of operation for that stadium. For each team, use this variable to create a new variable, stadium age, by subtracting the value of the variable year opened from the current year. Develop a box plot with the new variable, stadium age. Are there any outliers? If so, which of the stadiums are outliers?
b. Using the variable salary create a box plot. Are there any outliers? Compute the quartiles using formula $(4-1)$. Write a brief summary of your analysis.
c. Draw a scatter diagram with the variable wins on the vertical axis and salary on the horizontal axis. What are your conclusions?
d. Using the variable wins draw a dot plot. What can you conclude from this plot?

Jon Southam
Jon Southam
Numerade Educator
07:01

Problem 38

Refer to the Lincolnville School District bus data.
a. Referring to the maintenance cost variable, develop a box plot. What are the minimum, first quartile, median, third quartile, and maximum values? Are there any outliers?
b. Using the median maintenance cost, develop a contingency table with bus manufacturer as one variable and whether the maintenance cost was above or below the median as the other variable. What are your conclusions?

Jon Southam
Jon Southam
Numerade Educator