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
Concept explainers
Videos
Textbook Question
Chapter 11, Problem 11.2.8RE
In Exercises 7 and 8, use a Wilcoxon test to test the claim by doing the following.
- (a) Identify the claim and state H0 and Ha.
- (b) Decide whether to use a Wilcoxon signed-rank test or a Wilcoxon rank sum test.
- (c) Find the critical value(s).
- (d) Find the test statistic.
- (e) Decide whether to reject or fail to reject the null hypothesis.
- (f) Interpret the decision in the context of the original claim.
8. A medical researcher claims that a new drug affects the number of headache hours experienced by headache sufferers. The numbers of headache hours (per day) experienced by eight randomly selected patients before and after taking the drug are shown in the table. At a = 0.05, can you support the researcher’s claim?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A used car dealer says that the mean price of a three-year-old sports utility vehicle is $21,000. You suspect this claim
$1922. Is there enough evidence to reject the claim at a= 0.05? Complete parts (a) through (e) below. Assume the population is normally distributed.
incorrect and find that a random sample of 25 similar vehides has a mean price of $21,743 and a standard deviation of
(a) Write the claim mathematically and identify H, and H.
Which of the following correctly states H, and H,?
O A. Hp: µ2 $21,000
H:u $21,000
O B. Ho: u= $21,000
H: u# $21,000
OF. Ho: #$21,000
H:= $21,000
O D. Ho: > $21,000
O E. Ho: u= $21,000
H: us$21,000
H:p
OB. t
Oc.
(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Fail to reject H, because the test statistic is in the rejection region(s).
O B. Reject H, because the test statistic is not in the rejection region(s).
O C. Fail to reject Ho because the test statistic is not in the rejection region(s).
D. Reject Ho because the test statistic is in the rejection region(s).
(e) Interpret the decision in the context of the original claim.
A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $24,000.
B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $24,000.
C. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $24,000.
O D. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $24,000.
A credit card company claims that the mean credit card debt for individuals is greater than $5,100. You want to test this claim. You find that a random sample of 32 cardholders has a mean credit card balance of $5,242 and a standard deviation of
$575. At a = 0.01, can you support the claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
(a) Write the claim mathematically and identify Ho and H2.
Which of the following correctly states H, and H,?
O A. Ho: µ> $5,100
Ha: us $5,100
В. Но: и- $5,100
Hai µ > $5,100
С. Но: 3 $5,100
Ha: u# $5,100
O D. Ho: µ2 $5,100
Ha:u $5,100
Ha: us $5,100
Ο F H0: μS $5,1 00
Ha: µ > $5,100
(b) Find the critical value and identify the rejection region.
What is the critical value, to?
to =
0
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
Determine the rejection region. Select the correct choice below and fill in the ansswer box within your choice.
(Round to three decimal places as…
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
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
- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.arrow_forward(a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis. (d) Interpret the decision in the context of the original claim.arrow_forwardWhich bit of information is not obtainable from the results of a t-test written up in a statistical report? a. the alpha level used in the hypothesis test b. the degrees of freedom used in the hypothesis test c. whether the null hypothesis is rejected or fails to be rejected d. Each of these bits of information is obtainable from the results of a t-test written up in a statistical report.arrow_forward
- A two-tailed test is one where: Select one: a. results in only one direction can lead to rejection of the null hypothesis b. negative sample means lead to rejection of the null hypothesis c. results in either of two directions can lead to rejection of the null hypothesis d. no results lead to the rejection of the null hypothesisarrow_forwardThe data below were collected to test the effectiveness of a drug to lower systolic blood pressure. Blood pressure (in mm of mercury) was measured before and after treatment for 12 patients; the results are shown. The company claims the drug is effective. Explore this claim through completing the given questions. Assume the population differences is approximately normal and that all conditions for testing are satisfied. Subject A |E F H J G K L Before 200 174 198 170 179 182 193 209 185 155 169 210 After 191 170 177 167 159 151 176 183 159 145 146 177 Before - 9 After 4 21 3 20 31 17 26 26 10 23 33 Blank #1: The individual differences are given because these samples are Fill in the missing parts of the test to show it in its entirety: To explore whether the drug is effective, conduct a significance test using the hypotheses (do before - after as the direction of subtraction) Ho : Hdifference = 0 Ho : Hdifference Blank #2: Determine the correct alternative hypothesis by filling in the…arrow_forwardpls answer 3-5 on paperarrow_forward
- Which of the following are the signs which can be found in the null hypothesis? > II V VIarrow_forwardDetermine both Type I and Type II errors for the following scenario: Assume a null hypothesis that states the percentage of adults with jobs is at least 88%. (a) Identify the Type I error from these four statements. O Reject the null hypothesis that the percentage of adults who have jobs is at least 88% when that percentage is actually less than 88% O Not to reject the null hypothesis that the percentage of adults who have jobs is at least 88% when the percentage is actually at least 88% O Reject the null hypothesis that the percentage of adults who have jobs is at least 88% when the percentage is actually at least 88% O Not to reject the null hypothesis that the percentage of adults who have jobs is at least 88% when that percentage is actually less than 88% (b) Identify the Type II error from these four statements. O Reject the null hypothesis that the percentage of adults who have jobs is at least 88% when the percentage is actually at least 88% O Reject the null hypothesis that the…arrow_forwardA Type I error occurs if you reject the null hypothesis when in fact it is true. a.)True b.)Falsearrow_forward
- 23arrow_forwardWhen performing an F-test, if the null hypothesis is Ho: B2 = B3 = 0 what is the alternative hypothesis? B2 # 0 and B3 # 0 B2 # 0 or ß3 # 0 (B2 # 0 and B3 = 0) or (B2 = 0 and ß3 # 0) none of the abovearrow_forwardIn a criminal trial where the null hypothesis is innocence, a Type I error is made when: A. a guilty defendant is acquitted B. an innocent person is acquitted C. a guilty defendant is convicted D. an innocent person is convictedarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
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