Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 11.2, Problem 23E
Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motion. The paper “Constancy of Head Turning Recorded in Healthy Young Humans” (Journal of Biomedical Engineering [2008]: 428–436) reported the accompanying data on neck rotation (in degrees) for 14 subjects both in the clockwise direction (CL) and in the counterclockwise direction (CO). For purposes of this exercise, you can assume that the 14 subjects are representative of the population of adult Americans. Based on these data, is it reasonable to conclude that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction? Carry out a hypothesis test using a significance level of 0.01. (Hint: See Examples 11.6 and 11.7.)
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Researchers were interested in assessing whether stress levels at the beginning of the semester are related to (i.e., correlated with) stress levels during finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week.
Participant
Stress 1
Stress 2
(X - MX)
(Y - MY)
(X - MX) (Y - MY)
(X - MX)2
(Y - MY)2
1
22
22
-4.4
-6
2
32
34
5.6
6
3
24
25
-2.4
-3
4
28
30
1.6
2
5
26
29
-0.4
1
What is the observed correlation coefficient (i.e., r value)?
) Which model is the better predictor based on the MSE
us. What does
this suggest?
Source: Pegna, Alan J. et al., "Discriminating Emotional Faces without
Primary Visual Cortices Involves the Right Amygdala." Nature
Neuroscience, 8(1), 2005.
28. Reproducibility Researchers looked at studies that were
reported in newspapers with the goal of determining whether
initial studies had results that could be reproduced. Reproducibility
of results means that subsequent analysis confirms the conclusion
of the original study. Primary studies are studies where the
researchers come up with a research objective, clearly state the
goals of the study and population, describe the research method,
test the research hypotheses, and draw conclusions.
(a) Among the 156 primary studies reported by newspapers,
76 had results that were validated by subsequent analysis.
Does this suggest less than a majority of initial studies
reported by newspapers have their results validated by
subsequent analysis?
(b) In the article, a null effect is defined as any study where…
Chapter 11 Solutions
Introduction to Statistics and Data Analysis
Ch. 11.1 - Consider two populations for which 1 = 30, 1 = 2,...Ch. 11.1 - An individual can take either a scenic route to...Ch. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - The article Plugged In, but Tuned Out (USA TODAY,...Ch. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - The paper If Its Hard to Read, Its Hard to Do...Ch. 11.1 - Is injecting medical cement effective in reducing...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - The paper Mood Food: Chocolate and Depressive...Ch. 11.1 - Prob. 13ECh. 11.1 - Example 11.1 looked at a study comparing students...Ch. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - A newspaper story headline reads Gender Plays Part...Ch. 11.1 - Prob. 18ECh. 11.1 - Fumonisins are environmental toxins produced by a...Ch. 11.1 - A researcher at the Medical College of Virginia...Ch. 11.1 - Do certain behaviors result in a severe drain on...Ch. 11.2 - Suppose that you were interested in investigating...Ch. 11.2 - Head movement evaluations are important because...Ch. 11.2 - To determine if chocolate milk was as effective as...Ch. 11.2 - The humorous paper Will Humans Swim Faster or...Ch. 11.2 - The study described in the paper Marketing Actions...Ch. 11.2 - Prob. 27ECh. 11.2 - The paper Less Air Pollution Leads to Rapid...Ch. 11.2 - The paper The Truth About Lying in Online Dating...Ch. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - The paper Quantitative Assessment of Glenohumeral...Ch. 11.2 - Two proposed computer mouse designs were compared...Ch. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - The authors of the paper Ultrasound Techniques...Ch. 11.3 - Some people seem to believe that you can fix...Ch. 11.3 - Prob. 38ECh. 11.3 - After the 2010 earthquake in Haiti, many...Ch. 11.3 - Prob. 40ECh. 11.3 - The report Audience Insights: Communicating to...Ch. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - The article Fish Oil Staves Off Schizophrenia (USA...Ch. 11.3 - The report Young People Living on the Edge...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - The article Spray Flu Vaccine May Work Better Than...Ch. 11.3 - Prob. 53ECh. 11.3 - The following quote is from the article Canadians...Ch. 11.3 - Prob. 55ECh. 11.3 - Women diagnosed with breast cancer whose tumors...Ch. 11.3 - Prob. 57ECh. 11.4 - The paper The Psychological Consequences of Money...Ch. 11.4 - An experiment to determine if an online...Ch. 11.4 - The paper Ready or Not? Criteria for Marriage...Ch. 11 - Prob. 61CRCh. 11 - Prob. 62CRCh. 11 - A deficiency of the trace element selenium in the...Ch. 11 - Prob. 64CRCh. 11 - Prob. 65CRCh. 11 - In a study of a proposed treatment for diabetes...Ch. 11 - When a surgeon repairs injuries, sutures (stitched...Ch. 11 - Prob. 68CRCh. 11 - In a study of memory recall, eight students from a...Ch. 11 - As part of a study to determine the effects of...Ch. 11 - Prob. 71CRCh. 11 - Prob. 72CRCh. 11 - The article Truth and DARE: Tracking Drug...Ch. 11 - The article Softball Sliding Injuries (American...Ch. 11 - Prob. 75CRCh. 11 - Wayne Gretzky was one of ice hockeys most prolific...Ch. 11 - Heres one to sink your teeth into: The authors of...Ch. 11 - Prob. 78CRCh. 11 - Dentists make many people nervous. To see whether...Ch. 11 - Prob. 80CRCh. 11 - Prob. 81CRCh. 11 - Both surface soil and subsoil specimens were taken...
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
- (33) Christian Daniel - Ahora X Quiz: Chapter 09: Chapter Quiz X A kccd.instructure.com/courses/43... 图☆ FX Question 9 1 pts On a standardized spatial skills task, normative data reveal that people typically get u = 15 correct solutions. A psychologist test n = 7 individuals who have brain injuries in the right cerebral hemisphere. For the following data, determine whether or not right- hemisphere damage results in significantly reduced performance on the spatial skills task. Test with alpha = .05 and a one-tailed %3D distribution. The data are as follows: 12, 16, 9, 8, 10, 17, 10 What is the t value for this study? tsample = 4.882 O tsample = 2.87 Isample = - 2.49 O tsample = 0.424 Question 10 1 ptsarrow_forwardAn experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the foam diameter (mm) were the die temperature(145°C vs.155°C) and the die diameter (3 mm vs. 4 mm). The results are in the accompanying data table. The question are attached in a photoarrow_forwardDr. Rancur believes that working memory errors (M) will increase linearly with increases in level of cognitive load (CL). He randomly assigns 10 subjects to each of four cognitive load levels: 1, 3, 5 and 7 and assesses subjects’ memory performance. The results of his study are exhaustively summarized below. Using the summary information, carry out an analysis to determine if M is related to CL in the way Dr. Rancur predicts. Make sure you estimate the magnitude of the association, and construct a confidence interval as appropriate. In a summary sentence or two, evaluate the evidence for or against Dr. Rancur’s prediction.arrow_forward
- A car dealer wishes to learn whether they can predict customers preferred car make typebased on suburb so that they could distribute their mail advertising more effectively. Thetable below shows the number of people in a random sample of 245 and their current cars.arrow_forwardFind the correlation coefficient between the “modules studied in the last semester and number of hours spend on reading the books” from your collected data.arrow_forward2. A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the table below (based on data from “Motorcycle Rider Conspicuity and Crash Related Injury: Case-Control Study”, by Wells et al., BMJ USA, Vol. 4). 1. Test the claim that injuries are independent of helmet color, using chisq.test function in R at a 0.05 significance level. Please state the hypothesis, present a screenshot of the R output for this test, and provide your conclusion in the context of the problem. 2. Should motorcycle drivers choose helmets with a particular color? If so, which color appears best? Provide your justification.arrow_forward
- A negative correlation indicates: the values on the two variables being analyzed move in opposite directions. a higher score on one variable is related to a higher score on the other variable. the scores of each case in a sample simultaneously on two variables the value on the two variables being analyzed move in the same direction.arrow_forwardYou also conducted a review of the research literature and found that similar studies examining the relationship between alcohol consumption and liver cancer found the following: Smithson et al. RR 3.3 (95% CI:1.95-5.20) Ribera et al. RR 2.1 (95% CI:1.17-3.33) Gonzalez et al. RR 2.75 (95% CI 2.26-3.45) Which one of Hill’s criteria does this illustrate? Explain.arrow_forwardWhich non-parametric test for ordinal data is the best to use in the given scenario? In a study by Zuckerman and Heneghan, hemodynamic stresses were measured on subjects undergoing laparoscopic cholecystectomy. An outcome variable of interest was the ventricular end-diastolic volume (LVEDV) measured in mm. A portion of the data appears in the following table. Baseline refers to a measurement taken 5 minutes after induction of anesthesia, and the term '5 minutes' refers to a measurement taken 5 minutes after baseline. Can we conclude that, on the basis of these data, among subjects undergoing laparoscopic cholecystectomy, the average LVEDV levels change? Let a =.01. LVEDV (ml) Subject Baseline 5 minutes 1 51.7 49.3 2 79.0 72.0 3 78.7 67.0 4 80.3 70.4 5 72.0 65.9 6 85.0 84.8 7 79.0 77.7 8 71.3 74.0 9 54.3 58.0 10 58.8 65.0 a. Mood Median Test b. Sign Test c. Wilcoxon Rank Sum Test d. Wilcoxon Matched-Pair Signed-Ranks Test e. Spearman and Kendall Correlation…arrow_forward
- A)A set of n=12 of X and Y values produces a Pearson correlation of r= -0.70.Is this a positive of negative correlation? B)how do you determine the strength and consistency of the relationship using the Pearson correlation?arrow_forwardNIMBY. In March 2007, the Gallup Poll split a sampleof 1003 randomly selected U.S. adults into two groups atrandom. Half 1n = 5022 of the respondents were asked,“Overall, do you strongly favor, somewhat favor,somewhat oppose, or strongly oppose the useof nuclear energy as one of the ways to provideelectricity for the U.S.?”They found that 53% were either “somewhat” or “strongly”in favor. The other half 1n = 5012 were asked,“Overall, would you strongly favor, somewhat favor,somewhat oppose, or strongly oppose the constructionof a nuclear energy plant in your area as one of theways to provide electricity for the U.S.?”Only 40% were somewhat or strongly in favor. Thisdifference is an example of the NIMBY (Not In MyBackYard) phenomenon and is a serious concern topolicy makers and planners. How large is the differencebetween the proportion of American adults who thinknuclear energy is a good idea and the proportion whowould be willing to have a nuclear plant in theirarea? Construct and…arrow_forwardA researcher is interested in examining whether the location that a person lives is related to the number of hours that they spend on the internet each week. The researcher collected data from a sample of 30 participants who were classified in one of three groups: (1) 10 people who live in an urban setting, (2) 10 people who live in a suburban setting, and (3) 10 people who live in a rural setting. Each participant reported the number of hours they spend on the internet in a typical week (the dependent variable). The researcher found the following descriptive statistics: Urban participants reported an average of 8.9 hours of internet use per week with a standard deviation of 2.77. Suburban participants reported an average of 12.7 hours of internet use per week with a standard deviation of 4.88. Rural participants reported an average of 9.8 hours of internet use per week with a standard deviation of 2.82. Using the data that was collected, the researcher found the following: The…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License