Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 11, Problem 4CT
a.
To determine
To identify: The claim and state
b.
To determine
To decide: Whether to use a Wilcoxon signed-rank test or Wilcoxon rank sum test.
c.
To determine
To find: The critical values.
d.
To determine
To find: The test statistic.
e.
To determine
To decide: Whether to reject or fail to reject the null hypothesis at a level of significance of
f.
To determine
To interpret: The decision in the context of the original claim.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
please solve this problem step by step and make it quick please
WHAT IS THE CORRECT ANSWER AND WHY?
A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie.
Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute.
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each…
Chapter 11 Solutions
Elementary Statistics: Picturing the World (6th Edition)
Ch. 11.1 - Prob. 1TYCh. 11.1 - Prob. 2TYCh. 11.1 - Prob. 3TYCh. 11.1 - Prob. 1ECh. 11.1 - When the sign test is used, what population...Ch. 11.1 - Describe the test statistic for the sign test when...Ch. 11.1 - In your own words, explain why the hypothesis test...Ch. 11.1 - Explain how to use the sign test to test a...Ch. 11.1 - List the two conditions that must be met in order...Ch. 11.1 - Prob. 7E
Ch. 11.1 - Temperature A meteorologist claims that the median...Ch. 11.1 - Prob. 9ECh. 11.1 - Temperature During a weather report, a...Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Unit Size A renters organization claims that the...Ch. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Contacting Parents A research organization...Ch. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Ages of Grooms A marriage counselor claims that...Ch. 11.2 - Prob. 1TYCh. 11.2 - Prob. 2TYCh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Performing a Wilcoxon Test In Exercises 38, (a)...Ch. 11.2 - Wilcoxon Signed-Rank Test for n 30 When you are...Ch. 11.2 - Prob. 10ECh. 11.2 - Prob. 1CSCh. 11.2 - Prob. 2CSCh. 11.2 - Prob. 3CSCh. 11.2 - Prob. 4CSCh. 11.2 - Prob. 5CSCh. 11.2 - Prob. 6CSCh. 11.2 - Prob. 7CSCh. 11.3 - Prob. 1TYCh. 11.3 - Prob. 1ECh. 11.3 - Explain why the Kruskal-Wallis test is always a...Ch. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Comparing Two Tests In Exercises 7 and 8, (a)...Ch. 11.3 - Comparing Two Tests In Exercises 7 and 8, (a)...Ch. 11.4 - Prob. 1TYCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.5 - Prob. 1TYCh. 11.5 - Prob. 2TYCh. 11.5 - Prob. 3TYCh. 11.5 - In your own words, explain why the hypothesis test...Ch. 11.5 - Describe the test statistic for the runs test when...Ch. 11.5 - Finding the Number of Runs In Exercises 36,...Ch. 11.5 - Prob. 4ECh. 11.5 - Finding the Number of Runs In Exercises 36,...Ch. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Finding Critical Values In Exercises 1114, use the...Ch. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Runs Test with Quantitative Data In Exercises...Ch. 11 - Using an Inappropriate Test Discuss the...Ch. 11 - Prob. 11.1.1RECh. 11 - Prob. 11.1.2RECh. 11 - Prob. 11.1.3RECh. 11 - Prob. 11.1.4RECh. 11 - Prob. 11.1.5RECh. 11 - Prob. 11.1.6RECh. 11 - Prob. 11.2.7RECh. 11 - In Exercises 7 and 8, use a Wilcoxon test to test...Ch. 11 - Prob. 11.3.9RECh. 11 - Prob. 11.3.10RECh. 11 - Prob. 11.4.11RECh. 11 - Prob. 11.4.12RECh. 11 - Prob. 11.5.13RECh. 11 - Prob. 11.5.14RECh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - How Would You Do It? (a) What sampling technique...Ch. 11 - Prob. 2RSRDCh. 11 - Prob. 3RSRDCh. 11 - Prob. 1TCh. 11 - Prob. 2TCh. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6T
Knowledge Booster
Similar questions
- A qualifying exam for a graduate school program has a math section and a verbal section. Students receive a score of 1, 2, or 3 on each section. Define X as a student’s score on the math section and Y as a student’s score on the verbal section. Test scores vary according to the following bivariate probability distribution. y 1 2 3 1 0.22 0.33 0.05 x 2 0.00 0.08 0.20 3 0.07 0.05 0.00 μXX = , and μYY = σXX = , and σYY = The covariance of X and Y is . The coefficient of correlation is . The variables X and Y independent. The expected value of X + Y is , and the variance of X + Y is . To be accepted to a particular graduate school program, a student must have a combined score of 4 on the qualifying exam. What is the probability that a randomly selected exam taker qualifies for the program? 0.45 0.47 0.46 0.33 Chebysheff’s Theorem states that the…arrow_forwardwhat is the correct answer and why?arrow_forward(a) How many bit strings of length 10 both begin with a 1 and end with 2 zeroes? (b) How many permutations of the letters PQRSTUV contain PRS and QV?arrow_forward
- (d) A clothing store sells red, white, green, orange and pink charms for a specialty bracelet. How many ways can a customer purchase a bracelet with (i) 16 charms? (ii) 27 charms with at least 3 of each colour?arrow_forward(d) Draw the Venn diagram which represents the set (A U B) U (B NC).arrow_forwardThe ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n sample mean population std. dev. West 33 26.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for this problem? what is the p-value? what is the decision (reject or do not reject the null hypothesis?arrow_forward
- A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie. Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute. Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 24% of the time, and roommate B chooses rock 85% of the time; roommate A selects paper 12% of the time, and roommate B selects paper 14% of the time; roommate A chooses scissors 64% of the time, and roommate B chooses scissors 1% of the time. (These choices are made randomly and independently of each…arrow_forwardPerform the following hypothesis test: HO: µ = 6 H1: µ 6 The sample mean is 5.6, sample standard deviation of 1.5 and a sample size of 42. Use a 5% significance level. Need to answer the following questions: what is the value of the test statistic? what is the p-value for this test (round to 3 decimal places)? what is the decision (reject the null hypothesis or do not reject the null hypothesis)?arrow_forwardPerform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample proportion is 0.2 based on a sample size of 95. Use a 10% significance level. need to solve the following questions: what is the value of the test statistic? what is the p-value? what is the decision (reject the null hypothesis or do not reject the null hypothesis)?arrow_forward
- OOOOOOO00 Let's play Pick-A-Ball with replacement! There are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket, without looking, and select two balls. Since the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to select your ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Enter your answer in decimal format and round it to two decimal places.) Assume you have put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click the red Pick-A-Ball! icon to select your second ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Enter your…arrow_forwardThere are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket, without looking, and select two balls. Since the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with likelihood of being chosen. Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to select your ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Enter your answer in decimal format and round it to two decimal places.) Assume you have put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click the red Pick-A-Ball! icon to select your second ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Enter your answer in decimal format and round it to…arrow_forwardConsider a population that consists of the 70 students enrolled in a statistics course at a large university. If the university registrar were to compile the grade point averages (GPAs) of all 70 students in the course and compute their average, the result would be a mean GPA of 2.98. Note that this average is unknown to anyone; to collect the GPA information would violate the confidentiality of the students’ academic records. Suppose that the professor who teaches the course wants to know the mean GPA of the students enrolled in her course. She selects a sample of students who are in attendance on the third day of class. The GPAs of the students in the sample are: 3.71 3.92 3.68 3.60 3.64 3.27 3.93 3.12 3.40 3.74 The instructor uses the sample average as an estimate of the mean GPA of her students. The absolute value of the error in the instructor’s estimate is: 0.62 0.52 0.86 0.80 The portion of this error that is due to errors in data…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman