STAT TECH IN BUSINESS & ECON AC
18th Edition
ISBN: 9781264731657
Author: Lind
Publisher: MCG
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Chapter 10, Problem 52DA
To determine
Analyze the fairness that homes assigned to the agents.
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The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.
Customer
Amount of Tip
Amount of Bill
Number of Diners
Customer
Amount of Tip
Amount of Bill
Number of Diners
1
$
7.00
$
48.97
5
16
$
3.30
$
23.59
2
2
4.50
28.23
4
17
3.50
22.30
2
3
1.00
10.65
1
18
3.25
32.00
2
4
2.40
19.82
3
19
5.40
50.02
4
5
5.00
28.62
3
20
2.25
17.60
3
6
4.25
24.83
2
21
5.50
44.47
4
7
0.50
6.24
1
22
3.00
20.27
2…
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.
Customer
Amount of Tip
Amount of Bill
Number of Diners
Customer
Amount of Tip
Amount of Bill
Number of Diners
1
$
6.05
$
73.22
1
16
$
3.30
$
23.59
2
2
4.50
28.23
4
17
3.50
22.30
2
3
1.00
10.65
1
18
3.25
32.00
2
4
2.40
19.82
3
19
5.40
50.02
4
5
5.00
28.62
3
20
2.25
17.60
3
6
4.25
24.83
2
21
1.40
41.80
5
7
.50
6.25
1
22
3.00
20.27
2…
The Census Bureau Web site gives several choices for "average income" in its historical income data. In 2006, the median income of American households was $48,201. The mean household income was $66,570. The median income of families was $58,407, and the mean family income was $77,315. The Census Bureau says, “Households consist of all people who occupy a housing unit. The term ‘family’ refers to a group of two or more people related by birth, marriage, or adoption who reside together.”
Identify the reason for mean incomes for households being higher than median incomes for households.
Chapter 10 Solutions
STAT TECH IN BUSINESS & ECON AC
Ch. 10 - Heinz, a manufacturer of ketchup, uses a...Ch. 10 - Prob. 2SRCh. 10 - For Exercises 14, answer the questions: (a) Is...Ch. 10 - Prob. 2ECh. 10 - Prob. 3ECh. 10 - For Exercises 14, answer the questions: (a) Is...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...
Ch. 10 - The mean life of a battery used in a digital clock...Ch. 10 - Given the following hypotheses: H0:10H1:10 A...Ch. 10 - Given the following hypotheses: H0:=400H1:400 A...Ch. 10 - The Rocky Mountain district sales manager of Rath...Ch. 10 - Prob. 12ECh. 10 - Prob. 13ECh. 10 - Most air travelers now use e-tickets. Electronic...Ch. 10 - Prob. 4SRCh. 10 - Given the following hypotheses: H0:20H1:20 A...Ch. 10 - Given the following hypotheses: H0:=100H1:100 A...Ch. 10 - The amount of water consumed each day by a healthy...Ch. 10 - The liquid chlorine added to swimming pools to...Ch. 10 - A Washington, D.C., think tank announces the...Ch. 10 - Hugger Polls contends that an agent conducts a...Ch. 10 - Prob. 5SRCh. 10 - Refer to Table 104 and the example just completed....Ch. 10 - Prob. 22ECh. 10 - Prob. 23ECh. 10 - Prob. 24ECh. 10 - According to the local union president, the mean...Ch. 10 - Rutter Nursery Company packages its pine bark...Ch. 10 - A new weight-watching company, Weight Reducers...Ch. 10 - Dole Pineapple Inc. is concerned that the 16-ounce...Ch. 10 - According to a recent survey, Americans get a mean...Ch. 10 - A statewide real estate sales agency, Farm...Ch. 10 - According to the Census Bureau, 3.13 people reside...Ch. 10 - A recent article in Vitality magazine reported...Ch. 10 - Prob. 33CECh. 10 - Prob. 34CECh. 10 - A recent study revealed the typical American...Ch. 10 - The postanesthesia care area (recovery room) at...Ch. 10 - www.golfsmith.com receives an average of 6.5...Ch. 10 - During recent seasons, Major League Baseball has...Ch. 10 - Watch Corporation of Switzerland claims that its...Ch. 10 - Listed below is the annual rate of return...Ch. 10 - Many grocery stores and large retailers such as...Ch. 10 - For a recent year, the mean fare to fly from...Ch. 10 - The publisher of Celebrity Living claims that the...Ch. 10 - A United Nations report shows the mean family...Ch. 10 - Prob. 45CECh. 10 - The American Water Works Association reports that...Ch. 10 - A cola-dispensing machine is set to dispense 9.00...Ch. 10 - The owners of the Westfield Mall wished to study...Ch. 10 - The following null and alternate hypotheses are...Ch. 10 - An insurance company, based on past experience,...Ch. 10 - A national grocers magazine reports the typical...Ch. 10 - Prob. 52DACh. 10 - Prob. 53DACh. 10 - Refer to the Lincolnville School District bus...
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- Sergei Ivanovich is one of the diligent students of a high school in the USA. He is also a basketball fan. One day her gym teacher assigned her to report the average points earned by women's basketball players in each game in the form of a written report. Then Sergei took 10 player names and their points in one game. He took data from the WNBA AIl-Times Leaders website, based on this data in this regular season Nykesha Sales got 14.2 points per game, Sophia Young-malcolm got 14.3; Kayla McBride got 14.5; DeWanna Bonner got 14.8; Napheesa Collier got 14.9; Sheryl Swoopes got 15.0; Tina Thompson gets 15.1; Jewell Loyd gets 15.2 points; Kelsey Mitchell gets 15.2 points; and Seimone Augustus got 15.4 points. If it is claimed that the population mean is 14 points in each game, the alternative is greater than the null hypothesis. Perform a unidirectional test of the results of the sample taken by Sergei lvanovich with a significance level of 0.01.arrow_forwardIf an administrator at a regional hospital wanted to organize the following data, which chart/graph would they select, and why: a. Inpatient mortality rate (data on how many inpatients have died while in the hospital's care prior to being discharged). Sorted by first-listed diagnosis. b. Average revenue generated per physician. Sorted by physician. c. Percent of admitted patients with overnight stays compared to industry average.arrow_forwardThe Census Bureau website gives several choices for "average income" in its historical income data. In 2017, the median income of American households was $68,145. The mean household income was $93,453. The median income of families was $75,938, and the mean family income was $100,400. The Census Bureau says, "Households consist of all people who occupy a housing unit. The term 'family' refers to a group of two or more people related by birth, marriage, or adoption who reside together." Explain carefully why mean incomes are higher than median incomes and why family incomes are higher than household incomes.arrow_forward
- Maci is a social networking maniac! Although she prefers Instagram, she also spends a lot of time using Twitter, Pinterest, and Facebook. She is curious as to which social networking site is the most preferred for her age group, so she decides to conduct a study. Maci creates a survey to hand out to other students at her school. She plans to collect data from this survey and analyze the results to help her decide which social networking site is the most preferred. What is the variable of interest in this study? Maci survey social media sites the studentsarrow_forwardA please. Scatter diagram included.arrow_forwardGoogle has changed its strategy with regard to how much and over which media it invests in advertising. The following table shows Google's marketing budget in millions of dollars for 2008 and 2011 (The Wall Street Journal, March 27, 2012). 2008 2011 Internet $26.0 $123.3 Newspaper, etc. $4.0 $20.7 Television $0.0 $69.3 a. Select a side-by-side bar chart with year as the variable on the horizontal axis.arrow_forward
- Here we have data that represent the results of a study comparing different viewing distances for a 42 inch high definition television. Four viewing distances were evaluated, 9 feet, 12 feet, 15 feet and 18 feet. Each participant watched a 30 minute television program from one of the distances and then rated the viewing distance on a scale from 1 (Very Bad, definitely need to move closer or father away) to 7 (excellent, perfect viewing distance). The following day, the participants returned and watched another program from a different distance. This process continued until all five participants had experienced and rated all four distances. Viewing Distance Person 9 Feet 12 Feet 15 feet 18 Feet A 3 4 7 6 B 0 3 6 3 C 2 1 3 4 D 0 1 4 3 E 0 1 3 4 Conduct a hypothesis test, clearly showing each step in your answer.arrow_forwardIn your position as a chief credit officer for a large department store chain, you must decide how to arrange data regarding the credit trends of your customers. Information has been collected on the marital status (married, divorced, single, widowed), and type of credit card used most ( VISA, MasterCard, Carte Blanc, American Express). How can you display the data in a form that will quickly convey meaning?arrow_forwardWould you like a cup of tea? Carole and Julius are getting ready to open a new cafe and are gathering up information about sales of different drinks in their state. They obtain data containing the yearly sales (in $1000s) for three types of tea: Darjeeling, Earl Grey, and Green Tea. A boxplot of the data and a histogram of the sales for all three teas combined is shown below. Note: Clicking on any image in this problem will open it in a new window, allowing you to enlarge the view. Tea Sales by Product Combined Tea Sales Darjeeling Earl Grey Green Tea 100 200 300 400 Product Sales in $1000 Part 1: Use the plots above to make quantitative comparisons and answer the following questions: Quantity A: The 75th percentile (Q3) of Sales for Darjeeling Tea Quantity B: The 75th percentile (Q3) of Sales for Green Tea Quantity A is greater Quantity A: The median of Sales for Darjeeling Tea Quantity B: The median of Sales for Green Tea Quantity B is greater 00€ 007 Frequency > 000 008 007 Sales in…arrow_forward
- Would you like a cup of tea? Carole and Julius are getting ready to open a new cafe and are gathering up information about sales of different drinks in their state. They obtain data containing the yearly sales (in $1000s) for three types of tea: Darjeeling, Earl Grey, and Green Tea. A boxplot of the data and a histogram of the sales for all three teas combined is shown below. Note: Clicking on any image in this problem will open it in a new window, allowing you to enlarge the view. Tea Sales by Product Combined Tea Sales Darjeeling Earl Grey Green Tea 100 200 300 400 Product Sales in $1000 Part 1: Use the plots above to make quantitative comparisons and answer the following questions: Quantity A: The 75th percentile (Q3) of Sales for Darjeeling Tea Quantity B: The 75th percentile (Q3) of Sales for Green Tea Quantity A is greater 008 007 Frequency 00z 001 Sales in $1000arrow_forwardOn December 17, 2007 baseball writer John Hickey wrote an article for the Seattle P-I about increases to ticket prices for Seattle Mariners games during the 2008 season. The article included a data set that listed the average ticket price for each MLB team, the league in which the team plays (AL or NL), the number of wins during the 2007 season and the cost per win (in dollars). The data for the 16 National League teams are shown below. team league price wins cost/win Arizona Diamondbacks NL 19.68 90 35.40 Atlanta Braves NL 17.07 84 32.89 Chicago Cubs NL 34.30 85 65.33 Cincinnati Reds NL 17.90 72 40.32 Colorado Rockies NL 14.72 90 26.67 Florida Marlins NL 16.70 71 38.13 Houston Astros NL 26.66 73 59.11 Los Angeles Dodgers NL 20.09 82 34.64 Milwaukee Brewers NL 18.11 83 35.37 N.Y. Mets NL 25.28 88 46.56 Philadelphia Phillies NL 26.73 89 48.69 Pittsburgh Pirates NL 17.08 68 40.67 San Diego Padres NL 20.83 89 38.15 San Francisco Giants NL 24.53 71…arrow_forwardThe owner of a car dealership planned to develop strategies to increase sales. He hoped to learn the reasons why many people who visit his car lot do not eventually buy a car from him. For one month he asked his sales staff to keep a list of the names and addresses of everyone who came in to test drive a car. At the end of the month he sent surveys to the people who did not buy the car, asking them why. About one third of them returned the survey, with 44% of those indicating that they found a lower price elsewhere. Which is true?I. The population of interest is all potential car buyers.II. This survey design suffered from non-response bias.Check the best answer. only II neither I and II only Iarrow_forward
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