MYLAB STATISTICS W/ETEXT ACCESS CARD
6th Edition
ISBN: 9780135901137
Author: Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
thumb_up100%
Chapter 8, Problem 2CQQ
Tails Determine whether the given claim involves a hypothesis test that is left-tailed, two-tailed, or right-tailed.
a. p ≠0.5
b. μ < 98.6°F
c. σ > 15 cm
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents 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
MYLAB STATISTICS W/ETEXT ACCESS CARD
Ch. 8.1 - Vitamin C and Aspirin A bottle contains a label...Ch. 8.1 - Estimates and Hypothesis Tests Data Set 3 Body...Ch. 8.1 - Mean Height of Men A formal hypothesis test is to...Ch. 8.1 - Interpreting P-value The Ericsson method is one of...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...
Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Interpreting Power Chantix (varenicline) tablets...Ch. 8.1 - Calculating Power Consider a hypothesis test of...Ch. 8.1 - Finding Sample Size to Achieve Power Researchers...Ch. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - Prob. 3BSCCh. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Exact Method For each of the three different...Ch. 8.2 - Using Confidence Intervals to Test Hypotheses When...Ch. 8.2 - Power For a hypothesis test with a specified...Ch. 8.3 - Video Games: Checking Requirements Twelve...Ch. 8.3 - df If we are using the sample data from Exercise 1...Ch. 8.3 - t Test Exercise 2 refers to a t test. What is a t...Ch. 8.3 - Confidence Interval Assume that we will use the...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Hypothesis Test with Known How do the results...Ch. 8.3 - Hypothesis Test with Known How do the results...Ch. 8.3 - Finding Critical t Values When finding critical...Ch. 8.3 - Interpreting Power For the sample data in Example...Ch. 8.4 - Cans of Coke Data Set 26 Cola Weights and Volumes...Ch. 8.4 - Cans of Coke Use the data and the claim given in...Ch. 8.4 - Cans of Coke For the sample data from Exercise 1,...Ch. 8.4 - Cans of Coke: Confidence Interval If we use the...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Body Temperature Example 5 in Section 8-3 involved...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Finding Critical Values of 2 For large numbers of...Ch. 8.4 - Finding Critical Values of 2 Repeat Exercise 19...Ch. 8 - Distributions Using the methods of this chapter,...Ch. 8 - Tails Determine whether the given claim involves a...Ch. 8 - Instagram Poll In a Pew Research Center poll of...Ch. 8 - P-Value Find the P-value in a test of the claim...Ch. 8 - Conclusions True or false: In hypothesis testing,...Ch. 8 - Conclusions True or false: The conclusion of fail...Ch. 8 - Uncertainty True or false: If correct methods of...Ch. 8 - Chi-Square Test In a test of the claim that = 15...Ch. 8 - Robust Explain what is meant by the statements...Ch. 8 - Equivalent Methods Which of the following...Ch. 8 - True/False Characterize each of the following...Ch. 8 - Politics A county clerk in Essex County, New...Ch. 8 - Prob. 3RECh. 8 - Red Blood Cell Count A simple random sample of 40...Ch. 8 - Perception and Reality In a presidential election,...Ch. 8 - BMI for Miss America A claimed trend of thinner...Ch. 8 - BMI for Miss America Use the same BMI indexes...Ch. 8 - Type I Error and Type II Error a. In general, what...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths Refer to the sample data in...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths The accompanying bar chart shows...Ch. 8 - Lightning Deaths The graph in Cumulative Review...Ch. 8 - Lightning Deaths The graph in Cumulative Review...Ch. 8 - Lightning Deaths Based on the results given in...Ch. 8 - Critical Thinking: Testing the Salk Vaccine The...
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
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Type I and II Errors, Power, Effect Size, Significance and Power Analysis in Quantitative Research; Author: NurseKillam;https://www.youtube.com/watch?v=OWn3Ko1WYTA;License: Standard YouTube License, CC-BY