Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 11.1, Problem 11BSC
In Exercises 5–20, conduct the hypothesis test and provide the test statistic and the P-value and/or critical value, and stale the conclusion.
11. Police Calls The police department in Madison, Connecticut, released the following numbers of calls for the different days of the week during a February that had 28 days: Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130). Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. Is there anything notable about the observed frequencies?
Expert Solution & Answer
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
schedule06:06
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 11 Solutions
Elementary Statistics (13th Edition)
Ch. 11.1 - Cybersecurity The table below lists leading digits...Ch. 11.1 - 2. Cybersecurity When using the data from Exercise...Ch. 11.1 - Cybersecurity The accompanying Statdisk results...Ch. 11.1 - Cybersecurity What do the results from the...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...
Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - In Exercises 520, conduct the hypothesis test and...Ch. 11.1 - Ben fords Law. According to Benfords law, a...Ch. 11.1 - Ben fords Law. According to Benfords law, a...Ch. 11.1 - Ben fords Law. According to Benfords law, a...Ch. 11.1 - Ben fords Law. According to Benfords law, a...Ch. 11.1 - Assumed mid-point x=fxn=39825180=221.25...Ch. 11.2 - Handedness and Cell Phone Use The accompanying...Ch. 11.2 - Ear Preference for Cell Phone Use 2. Hypotheses...Ch. 11.2 - Hypothesis Test The accompanying TI-83/84 Plus...Ch. 11.2 - Right-Tailed, Left-Tailed, Two-Tailed Is the...Ch. 11.2 - Prob. 5BSCCh. 11.2 - In Exercises 5-18, test the given claim. 6. Splint...Ch. 11.2 - In Exercises 5-18, test the given claim. 7....Ch. 11.2 - Prob. 8BSCCh. 11.2 - In Exercises 5-18, test the given claim. 9. Four...Ch. 11.2 - In Exercises 5-18, test the given claim. 10....Ch. 11.2 - In Exercises 5-18, test the given claim. 11....Ch. 11.2 - In Exercises 5-18, test the given claim. 12. Nurse...Ch. 11.2 - Soccer Strategy In soccer, serious fouls in the...Ch. 11.2 - In Exercises 5-18, lest the given claim. 14. Is...Ch. 11.2 - In Exercises 518, test the given claim. 15....Ch. 11.2 - In Exercises 5-18, test the given claim. 16....Ch. 11.2 - Prob. 17BSCCh. 11.2 - In Exercises 5-18, test the given claim. 18....Ch. 11.2 - In Exercises 5-18, lest the given claim. 19. Car...Ch. 11.2 - Is the Home Field Advantage Independent of the...Ch. 11.2 - Equivalent Tests A X2 test involving a 2 2 table...Ch. 11.2 - Using Yatess Correction for Continuity The...Ch. 11 - Exercises 1-5 refer to the sample data in the...Ch. 11 - Exercises 15 refer to the sample data in the...Ch. 11 - Exercises 15 refer to the sample data in the...Ch. 11 - Prob. 4CQQCh. 11 - Exercises 15 refer to the sample data in the...Ch. 11 - Questions 610 refer to the sample data in the...Ch. 11 - Questions 610 refer to the sample data in the...Ch. 11 - Questions 6-10 refer to the sample data in the...Ch. 11 - Find the number of degrees of freedom.Ch. 11 - Questions 6-10 refer to the sample data in the...Ch. 11 - Motor Vehicle Fatalities The table below lists...Ch. 11 - Tooth Fillings The table below shows results from...Ch. 11 - American Idol Contestants on the TV show American...Ch. 11 - Clinical Trial of Lipitor Lipitor is the trade...Ch. 11 - Weather-Related Deaths For a recent year, the...Ch. 11 - Weather-Related Deaths Review Exercise 5 involved...Ch. 11 - Chocolate and Happiness In a survey sponsored by...Ch. 11 - Chocolate and Happiness Use the results from part...Ch. 11 - Chocolate and Happiness Use the results from part...Ch. 11 - One Big Bill or Many Smaller Bills In a study of...Ch. 11 - 6. Probability Refer to the results from the 150...Ch. 11 - Car Repair Costs Listed below are repair costs (in...Ch. 11 - Forward Grip Reach and Ergonomics When designing...Ch. 11 - Use Statdisk, Minitab, Excel, StatCrunch, a...Ch. 11 - FROM DATA TO DECISION Critical Thinking: Was...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Integrals in cylindrical coordinates Evaluate the following integrals in cylindrical coordinates. The figures i...
Calculus: Early Transcendentals (2nd Edition)
If n is a counting number, bn, read______, indicates that there are n factors of b. The number b is called the_...
Algebra and Trigonometry (6th Edition)
Identify f as being linear, quadratic, or neither. If f is quadratic, identify the leading coefficient a and ...
College Algebra with Modeling & Visualization (5th Edition)
Motion in the Plane
In Exercises 5–8, r(t) is the position of a particle in the xy-plane at time t. Find an equ...
University Calculus: Early Transcendentals (4th Edition)
In Exercises 13–16, find the margin of error for the values of c, ?, and n.
13. c = 0.95, ? = 5.2, n = 30
Elementary Statistics: Picturing the World (7th Edition)
The blank 15 ft≈m
Pre-Algebra Student Edition
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
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...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY