APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8, Problem 87CE
A sample of 213 newspaper tire ads from several Sunday papers showed that 98 contained a low-price guarantee (offer to “meet or beat any price”). (a) Assuming that this was a random sample, construct a 95 percent confidence interval for the proportion of all Sunday newspaper tire ads that contain a low-price guarantee. (b) Is the criterion for normality of p met?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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…
West 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 year
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.
c. What is the probability that a person…
Chapter 8 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 8.2 - Find the interval zn,+zn within which 90 percent...Ch. 8.2 - Find the interval zn,+zn within which 95 percent...Ch. 8.2 - The diameter of bushings turned out by a...Ch. 8.2 - Concerns about climate change and CO2 reduction...Ch. 8.3 - (a) Find the standard error of the mean for each...Ch. 8.3 - (a) Find the standard error of the mean for each...Ch. 8.3 - The fat content of a pouch of Keebler Right Bites...Ch. 8.3 - Prob. 8SECh. 8.4 - Construct a confidence interval for assuming that...Ch. 8.4 - Construct a confidence interval for assuming that...
Ch. 8.4 - Use the sample information x = 2.4, = 0.15, n = 9...Ch. 8.4 - Use the sample information x = 37, = 5, n = 15 to...Ch. 8.4 - A random sample of 25 items is drawn from a...Ch. 8.4 - A random sample of 100 items is drawn from a...Ch. 8.4 - Prob. 15SECh. 8.4 - Prob. 16SECh. 8.4 - The Ball Corporations beverage can manufacturing...Ch. 8.5 - Find a confidence interval for assuming that each...Ch. 8.5 - For each value of d.f. (degrees of freedom), look...Ch. 8.5 - For each value of d.f. (degrees of freedom), look...Ch. 8.5 - A random sample of 10 items is drawn from a...Ch. 8.5 - A random sample of 25 items is drawn from a...Ch. 8.5 - A sample of 21 minivan electrical warranty repairs...Ch. 8.5 - A random sample of 16 pharmacy customers showed...Ch. 8.5 - A random sample of monthly rent paid by 12 college...Ch. 8.5 - A random sample of 10 shipments of stick-on labels...Ch. 8.5 - Prof. Green gave three exams last semester. Scores...Ch. 8.6 - Calculate the standard error of the sample...Ch. 8.6 - Calculate the standard error of the sample...Ch. 8.6 - Should p be assumed normal? a. n = 200, = .02 b....Ch. 8.6 - Should p be assumed normal? a. n = 25, =.50 b. n...Ch. 8.6 - Find the margin of error for a poll, assuming that...Ch. 8.6 - A car dealer is taking a customer satisfaction...Ch. 8.6 - In a sample of 500 new websites registered on the...Ch. 8.6 - From a list of stock mutual funds, 52 funds were...Ch. 8.6 - Of 43 bank customers depositing a check, 18...Ch. 8.6 - A survey showed that 4.8 percent of the 250...Ch. 8.7 - Calculate the FPCF for each sample and population...Ch. 8.7 - Use the following informationx=50, = 15, n = 90,...Ch. 8.7 - Use the following informationx=3.7, s = 0.2, n =...Ch. 8.7 - A random survey of 500 students was conducted from...Ch. 8.8 - For each level of precision, find the required...Ch. 8.8 - Last year, a study showed that the average ATM...Ch. 8.8 - The EPA city/hwy mpg range for a Saturn Vue FWD...Ch. 8.8 - Popcorn kernels are believed to take between 100...Ch. 8.8 - Analysis showed that the mean arrival rate for...Ch. 8.8 - Noodles Company wants to estimate the mean...Ch. 8.8 - In an intra-squad swim competition, mens freestyle...Ch. 8.8 - Prob. 49SECh. 8.9 - What sample size would be required to estimate the...Ch. 8.9 - Prob. 51SECh. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - How large a sample size would be needed to...Ch. 8.9 - Inspection of a random sample of 19 aircraft...Ch. 8.10 - Find the 95 percent confidence interval for the...Ch. 8.10 - The weights of 20 oranges (in ounces) are shown...Ch. 8.10 - A pediatricians records showed the mean height of...Ch. 8.10 - Find the 90 percent confidence interval for the...Ch. 8 - Define (a) parameter, (b) estimator, (c) sampling...Ch. 8 - Explain the difference between sampling error and...Ch. 8 - Name three estimators. Which ones are unbiased?Ch. 8 - Explain what it means to say an estimator is (a)...Ch. 8 - State the main points of the Central Limit Theorem...Ch. 8 - Why is population shape of concern when estimating...Ch. 8 - (a) Define the standard error of the mean. (b)...Ch. 8 - Define (a) point estimate, (b) margin of error,...Ch. 8 - List some common confidence levels. What happens...Ch. 8 - List differences and similarities between Students...Ch. 8 - Give an example to show that (a) for a given...Ch. 8 - Why do outliers and skewed populations pose a...Ch. 8 - (a) State the Central Limit Theorem for a...Ch. 8 - (a) Define the standard error of the proportion....Ch. 8 - When would you use the FPCF and what does it do to...Ch. 8 - Prob. 16CRCh. 8 - When calculating a sample size for a proportion,...Ch. 8 - Why would we be interested in a confidence...Ch. 8 - A random sample of 30 lunch orders at Noodles ...Ch. 8 - A random sample of 21 nickels measured with a very...Ch. 8 - A random sample of 10 miniature Tootsie Rolls was...Ch. 8 - Statistics students were asked to go home and fill...Ch. 8 - A sample of 20 pages was taken without replacement...Ch. 8 - Twenty-five blood samples were selected by taking...Ch. 8 - A sample of 20 pages was taken from a Yellow Pages...Ch. 8 - Sixteen owners of 2010 Audi A4 sedans kept track...Ch. 8 - Twenty-five blood samples were selected by taking...Ch. 8 - Prob. 69CECh. 8 - Dave the jogger runs the same route every day...Ch. 8 - A pediatricians records showed the mean height of...Ch. 8 - A random sample of 10 exam scores showed a...Ch. 8 - A random sample of 30 lunch orders at Noodles ...Ch. 8 - During the Rose Bowl, the length (in seconds) of...Ch. 8 - A sample of 40 songs from a students iTunes...Ch. 8 - Prob. 76CECh. 8 - In a sample of 100 Planters Mixed Nuts, 19 were...Ch. 8 - A study showed that 14 of 180 publicly traded...Ch. 8 - How decaffeinated is decaffeinated coffee? If a...Ch. 8 - Noodles Company wants to estimate the percent of...Ch. 8 - Junior Achievement and Deloitte commissioned a...Ch. 8 - A random sample of 30 cans of Del Vino crushed...Ch. 8 - A poll of 125 college students who watch The Big...Ch. 8 - A survey of 4,581 U.S. households that owned a...Ch. 8 - A teen ethics poll was commissioned by Junior...Ch. 8 - Biting an unpopped kernel of popcorn hurts! As an...Ch. 8 - A sample of 213 newspaper tire ads from several...Ch. 8 - A physicians billing office conducted a random...Ch. 8 - Of 250 college students taking a statistics class,...Ch. 8 - (a) A poll of 2,277 likely voters was conducted on...Ch. 8 - To determine the proportion of taxpayers who...Ch. 8 - A sample of 40 songs from a students iTunes...Ch. 8 - Ouranos Resorts would like to send a survey to its...Ch. 8 - This is an exercise using Excel. (a) Use...
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
- 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
- Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer.arrow_forwardThe output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37, 10.44, 9.25, 9.38, and 10.85. (a) Test the hypothesis that the mean voltage equals 12 V against a two-sided alternative using a = 0.05. (b) Construct a 95% two-sided confidence interval on μ. (c) Test the hypothesis that σ² = 11 using α = 0.05. (d) Construct a 95% two-sided confidence interval on σ. (e) Construct a 95% upper confidence interval on σ. (f) Does the assumption of normality seem reasonable for the output voltage?arrow_forwardAnalyze the residuals from the regression model on the patient satisfaction data from Exercise 3. Comment on the adequacy of the regression model.arrow_forward
- Consider the hypotheses: Hop=po H₁ppo where 2 is known. Derive a general expression for determining the sample size for detecting a true mean of 1μo with probability 1-ẞ if the type I error is a.arrow_forwardSuppose we wish to test the hypotheses: Họ : | = 15 H₁: 15 where we know that o² = 9.0. If the true mean is really 20, what sample size must be used to ensure that the probability of type II error is no greater than 0.10? Assume that a = 0.05.arrow_forwardTable 1 contains the data from a patient satisfaction survey for a group of 25 randomly selected patients at a hospital. In addition to satisfaction, data were collected on patient age and an index that measured the severity of illness. (a) Fit a linear regression model relating satisfaction to patient age. (b) Test for significance of regression. (c) What portion of the total variability is accounted for by the regressor variable age? Table 1: Patient Satisfaction Data Severity Observation Age (21) (x2) Satisfaction (y) 1 55 50 2 46 24 3 30 46 4 35 48 5 59 58 6 61 60 7 74 65 8 38 42 9 27 42 10 51 50 11 53 38 12 41 30 13 37 31 88 14 24 34 15 42 30 16 50 48 17 58 61 18 60 71 19 62 62 20 68 38 21 70 41 22 79 66 23 63 31 24 39 42 25 49 40 BE225222222222222222 68 77 96 80 43 44 26 88 75 57 56 88 102 88 70 43 46 56 59 26 83 75arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
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
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License