Essentials of Statistics for Business and Economics
9th Edition
ISBN: 9780357118191
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning US
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3.2, Problem 26E
Price of Unleaded Gasoline. Data collected by the Oil Price Information Service from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a gallon of unleaded gasoline was $3.28 (MSN Auto website). The following data show the price per gallon ($) for a sample of 20 gasoline and convenience stores located in San Francisco.
- a. Use the sample data to estimate the
mean price for a gallon of unleaded gasoline in San Francisco. - b. Compute the sample standard deviation.
- c. Compare the mean price per gallon for the sample data to the national average price. What conclusions can you draw about the cost living in San Francisco?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Are there any unusually high or low pH levels in this sample of wells?
0
n
AM
RIES
s of
of
10
m
Frequency
40
Frequency
20
20
30
10
You make two histograms from two different
data sets (see the following figures), each
one containing 200 observations. Which of
the histograms has a smaller spread: the first
or the second?
40
30
20
10
0
20
40
60
0
20
20
40
60
60
80
80
100
80
100
TIP
the
aren't, the data are not sym
11
Suppose that the average salary at a certain
company is $100,000, and the median salary
is $40,000.
a. What do these figures tell you about the
shape of the histogram of salaries at this
company?
b. Which measure of center is more appro-
priate here?
c. Suppose that the company goes through a
salary negotiation. How can people on
each side use these summary statistics to
their advantage?
6360 be
52
PART 1 Getting Off to a Statistically Significant S
Chapter 3 Solutions
Essentials of Statistics for Business and Economics
Ch. 3.1 - Consider a sample with data values of 10, 20, 12,...Ch. 3.1 - Consider a sample with data values of 10, 20, 21,...Ch. 3.1 - Consider the following data and corresponding...Ch. 3.1 - Consider the following data.
What is the mean...Ch. 3.1 - Consider a sample with data values of 27, 25, 20,...Ch. 3.1 - Consider a sample with data values of 53, 55, 70,...Ch. 3.1 - eICU Waiting Times. There is a severe shortage of...Ch. 3.1 - Middle-Level Manager Salaries. Suppose that an...Ch. 3.1 - Advertising Spending. Which companies spend the...Ch. 3.1 - Advertising Spending. Which companies spend the...
Ch. 3.1 - Time Spent Watching Traditional TV. Nielsen tracks...Ch. 3.1 - Online Multiplayer Game Downloads. The creator of...Ch. 3.1 - Automobile Fuel Efficiencies. In automobile...Ch. 3.1 - Unemployment Rates by State. The U.S. Bureau of...Ch. 3.1 - Motor Oil Prices. Martinez Auto Supplies has...Ch. 3.1 - Calculating Grade Point Averages. The grade point...Ch. 3.1 - The following table shows the total return and the...Ch. 3.1 - Business School Ranking. Based on a survey of...Ch. 3.1 - Revenue Growth Rate. Annual revenue for Corning...Ch. 3.1 - Mutual Fund Comparison. Suppose that at the...Ch. 3.1 - If an asset declines in value from $5000 to $3500...Ch. 3.1 - The current value of a company is 25 million. If...Ch. 3.2 - Consider a sample with data values of 10, 20, 12,...Ch. 3.2 - Consider a sample with data values of 10, 20, 12,...Ch. 3.2 - Consider a sample with data values of 27, 25, 20,...Ch. 3.2 - Price of Unleaded Gasoline. Data collected by the...Ch. 3.2 - Round-Trip Flight Prices. The following table...Ch. 3.2 - Annual Sales Amounts. Varatta Enterprises sells...Ch. 3.2 - Air Quality Index. The Los Angeles Times regularly...Ch. 3.2 - Prob. 30ECh. 3.2 - Cellular Phone Spending. According to the 2016...Ch. 3.2 - Advertising Spend by Companies. Advertising Age...Ch. 3.2 - Amateur Golfer Scores. Scores turned in by an...Ch. 3.2 - Consistency of Running Times. The following times...Ch. 3.3 - Consider a sample with data values of 10, 20, 12,...Ch. 3.3 - Prob. 36ECh. 3.3 - Consider a sample with a mean of 30 and a standard...Ch. 3.3 - Suppose the data have a bell-shaped distribution...Ch. 3.3 - The results of a national survey showed that on...Ch. 3.3 - Price per Gallon of Gasoline. Suppose that the...Ch. 3.3 - GMAT Exam Scores. The Graduate Management...Ch. 3.3 - Many families in California are using backyard...Ch. 3.3 - Best Places to Live. Each year Money magazine...Ch. 3.3 - NCAA Basketball Game Scores. A sample of 10 NCAA...Ch. 3.3 - Prob. 45ECh. 3.4 - Consider a sample with data values of 27, 25, 20,...Ch. 3.4 - Show the boxplot for the data in exercise 46. 46....Ch. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Naples Half-Marathon Times. Naples, Florida, hosts...Ch. 3.4 - Pharmaceutical Company Sales. Annual sales, in...Ch. 3.4 - Cell Phone Companies Customer Satisfaction....Ch. 3.4 - Most Admired Companies. Fortune magazines list of...Ch. 3.4 - U.S. Border Crossings. The Bureau of...Ch. 3.5 - Five observations taken for two variables follow....Ch. 3.5 - Five observations taken for two variables follow....Ch. 3.5 - Stock Price Comparison. The file StockComparison...Ch. 3.5 - Driving Speed and Fuel Efficiency. A department of...Ch. 3.5 - Smoke Detector Use and Death Rates. Over the past...Ch. 3.5 - Stock Market Indexes Comparison. The Russell 1000...Ch. 3.5 - Best Private Colleges. A random sample of 30...Ch. 3 - Americans Dining Out. Americans tend to dine out...Ch. 3 - NCAA Football Coaches Salaries. A 2017 USA Today...Ch. 3 - Physician Office Waiting Times. The average...Ch. 3 - Worker Productivity and Insomnia. U.S. companies...Ch. 3 - Work Commuting Methods. Public transportation and...Ch. 3 - Household Incomes. The following data represent a...Ch. 3 - Prob. 69SECh. 3 - Best Hotels. Travel + Leisure magazine provides an...Ch. 3 - NFL Teams Worth. In 2014, the 32 teams in the...Ch. 3 - MLB Team Winning Percentages. Does a major league...Ch. 3 - Money Market Funds Days to Maturity. The days to...Ch. 3 - Automobile Speeds. Automobiles traveling on a road...Ch. 3 - Annual Returns for Panama Railroad Company Stock....Ch. 3 - Pelican Stores, a division of National Clothing,...Ch. 3 - Prob. 2CPCh. 3 - The pursuit of a higher education degree in...Ch. 3 - Although millions of elephants once roamed across...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 12 Suppose that you know that a data set is skewed left, and you know that the two measures of center are 19 and 38. Which figure is the mean and which is the median?arrow_forwardy of 45 home- televisions u find that 010020 le own one, ee, and 1 owns y histogram of 4 Suppose that you have a loaded die. You roll it several times and record the outcomes, which are shown in the following figure. Histogram for Loaded Die 444% 34.00 48% 6% 2% Frequency 20 20 15 155 10 5- ம 0 1 2 3 4 Outcome 5 6 a. Make a relative frequency histogram of these results. b. You can make a relative frequency histo- gram from a frequency histogram; can you go the other direction?arrow_forwardCalculate the mean for Study Hours and Test Scores. Compute the covariance between the two variables using the formula: Calculate the standard deviation for Study Hours (X) and Test Scores (Y). Determine the correlation coefficient Interpret the results: What does the calculated r-value indicate about the relationship between study hours and test scores?arrow_forward
- For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Months Unemployed Number Unemployed 1 1029 2 1686 3 2269 4 2675 5 3487 6 4652 7 4145 8 3587 9 2325 10 1120 Let x be a random variable indicating the number of months a person is unemployed. a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals). (x) f(x) 1 2 3 4 5 6 7 8 9 10 b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank c. What is the probability that a…arrow_forwardWest Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year. Excel File: data05-19.xls x 10 f(x) .05 20 30 .10 .10 40 .20 50 60 .35 .20 a. Is this probability distribution valid? - Select your answer- Explain. f(x) Σf(x) Select your answer Select your answer b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)? c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)? d. Compute the expected value and variance of x. Expected value Variance clients per year squared clients per yeararrow_forwardFor unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Months Unemployed Number Unemployed 1 1029 2 1686 3 2269 4 2675 5 3487 6 4652 7 4145 8 3587 9 2325 10 1120 Let x be a random variable indicating the number of months a person is unemployed. a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals). (x) f(x) 1 2 3 4 5 6 7 8 9 10 b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. c. What is the probability that a person…arrow_forward
- In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 2 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardA technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Duration of Call x f(x) 1 2 3 4 Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forward
- A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. x f(x) for x = 1, 2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(x) ≥0 Σf(x) = 1 (5.1) (5.2) Does this probability distribution satisfy equation (5.1)? Select Does this probability distribution satisfy equation (5.2)? Select b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?arrow_forwardA technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forwardWest Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year. Excel File: data05-19.xls 10 20 f(x) .05 .10 11 30 40 50 60 .10 .20 .35 .20 a. Is this probability distribution valid? Yes Explain. greater than or equal to 0 f(x) Σf(x) equal to 1 b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)? c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)? d. Compute the expected value and variance of x. Expected value Variance clients per year squared clients per yeararrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License