Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 9, Problem 4LCWP
To determine
The list of five basic ingredients used in a statistical test.
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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.
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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
Chapter 9 Solutions
Understanding Basic Statistics
Ch. 9.1 - Statistical Literacy Discuss each of the following...Ch. 9.1 - Statistical Literacy In a statistical test, we...Ch. 9.1 - Statistical Literacy If we fail to reject (i.e.,...Ch. 9.1 - Statistical Literacy If we reject the null...Ch. 9.1 - Statistical Literacy What terminology do we use...Ch. 9.1 - Statistical Literacy What terminology do we use...Ch. 9.1 - Statistical Literacy If the P-value in a...Ch. 9.1 - Statistical Literacy If the P-value in a...Ch. 9.1 - Statistical Literacy Suppose the P-value in a...Ch. 9.1 - Statistical Literacy Suppose the P-value in a...
Ch. 9.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 9.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 9.1 - Prob. 13PCh. 9.1 - Basic Computation: Find the Test Statistic....Ch. 9.1 - Veterinary Science: Colts The body weight of a...Ch. 9.1 - Marketing: Shopping Time How much customers buy is...Ch. 9.1 - Meteorology: StormsWeatherwise magazine is...Ch. 9.1 - Ford Mustang: Acceleration Motor Trend stated that...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.2 - Statistical Literacy For the same sample data and...Ch. 9.2 - Statistical Literacy To test for an x...Ch. 9.2 - Statistical Literacy When using the Students t...Ch. 9.2 - Critical Thinking Consider a test for . If the...Ch. 9.2 - Critical Thinking Consider a test for .If the...Ch. 9.2 - Critical Thinking If sample data is such that for...Ch. 9.2 - Basic Computation: P-value Corresponding to t...Ch. 9.2 - Basic Computation: P-value Corresponding to t...Ch. 9.2 - Basic Computation: Testing , Unknown A random...Ch. 9.2 - Basic Computation: Testing , Unknown A random...Ch. 9.2 - (c) Find (or estimate) the P-value. Sketch the...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Critical Thinking: One-Tailed versus Two-Tailed...Ch. 9.2 - Expand Your Knowledge: Two Confidence Intervals...Ch. 9.2 - Prob. 25PCh. 9.2 - Prob. 26PCh. 9.2 - Prob. 27PCh. 9.2 - Prob. 28PCh. 9.2 - Critical Region Method: Student'st Solve Problem...Ch. 9.2 - Critical Region Method: Student'st Solve Problem...Ch. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Prob. 2PCh. 9.3 - Prob. 3PCh. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Basic Computation: Testingp A random sample of 30...Ch. 9.3 - Basic Computation: Testingp A random sample of 60...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - Critical Region Method: Testing Proportions Solve...Ch. 9.3 - Prob. 23PCh. 9.3 - Prob. 24PCh. 9 - Terminology Answer each of the following...Ch. 9 - Terminology Answer each of the following...Ch. 9 - Statistical Literacy When testing how do we...Ch. 9 - Statistical Literacy What do we mean when we say a...Ch. 9 - Critical Thinking All other conditions being...Ch. 9 - Critical Thinking All other conditions being...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Prob. 1DHGPCh. 9 - Prob. 1LCWPCh. 9 - Prob. 2LCWPCh. 9 - The following statements are very important. Give...Ch. 9 - Prob. 4LCWPCh. 9 - As access to computers becomes more and more...Ch. 9 - Prob. 1CRPCh. 9 - Prob. 2CRPCh. 9 - Statistical Literacy Please give a careful but...Ch. 9 - Prob. 4CRPCh. 9 - Normal Approximation to the Binomial the majority...Ch. 9 - Prob. 6CRPCh. 9 - Sampling Distribution p Do you have a great deal...Ch. 9 - In Problems 8-12, please use the following steps...Ch. 9 - In Problems 8-12, please use the following steps...Ch. 9 - Prob. 10CRPCh. 9 - In Problems 8-12, please use the following steps...Ch. 9 - In Problems 8-12, please use the following steps...
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- 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…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 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_forward
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- Analyze the residuals from the regression model on the patient satisfaction data from Exercise 3. Comment on the adequacy of the regression model.arrow_forwardConsider 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_forward
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