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Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 11.2, Problem 39E
Two proposed computer mouse designs were compared by recording wrist extension in degrees for 24 people who each used both mouse types (“Comparative Study of Two Computer Mouse Designs,” Cornell Human Factors Laboratory Technical Report RP7992). The difference in wrist extension was calculated by subtracting extension for mouse type B from the wrist extension for mouse type A for each student. The
- a. Suppose that the standard deviation of the differences was 10 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level.
- b. Suppose that the standard deviation of the differences was 26 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level.
- c. Briefly explain why different conclusions were reached in the hypothesis tests of Parts (a) and (b).
Expert Solution & Answer
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Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
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 - Many people now tum to the Internet to get...Ch. 11.1 - Use the information in the previous exercise to...Ch. 11.1 - The article Plugged In, but Tuned Out (USA TODAY,...Ch. 11.1 - The National Sleep Foundation surveyed...Ch. 11.1 - The report referenced in the previous exercise...Ch. 11.1 - The paper If Its Hard to Read, Its Hard to Do...Ch. 11.1 - The paper Facebook Use and Academic Performance...Ch. 11.1 - Use the information in the previous exercise to...
Ch. 11.1 - Prob. 11ECh. 11.1 - The paper Mood Food: Chocolate and Depressive...Ch. 11.1 - The authors of the paper Influence of Biofeedback...Ch. 11.1 - Example 11.1 looked at a study comparing students...Ch. 11.1 - Internet addiction has been described as excessive...Ch. 11.1 - The paper Does the Color of the Mug Influence the...Ch. 11.1 - A newspaper story headline reads Gender Plays Part...Ch. 11.1 - The authors of the paper The Empowering (Super)...Ch. 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 - Many runners believe that listening to music while...Ch. 11.2 - The study described in the previous exercise also...Ch. 11.2 - In Exercise 11.23, a hypothesis test leads to the...Ch. 11.2 - The article Puppy Love? Its Real, Study Says (USA...Ch. 11.2 - The authors of the paper Concordance of...Ch. 11.2 - The paper referenced in the previous exercise also...Ch. 11.2 - The paper Driving Performance While Using a Mobile...Ch. 11.2 - The paper referenced in the previous exercise also...Ch. 11.2 - Use the information given in the previous exercise...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 - Head movement evaluations are important because...Ch. 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 - The paper Quantitative Assessment of Glenohumeral...Ch. 11.2 - Two proposed computer mouse designs were compared...Ch. 11.2 - The authors of the paper Ultrasound Techniques...Ch. 11.3 - Some people seem to believe that you can fix...Ch. 11.3 - The report titled Digital Democracy Survey (2016,...Ch. 11.3 - After the 2010 earthquake in Haiti, many...Ch. 11.3 - The article Most Women Oppose Having to Register...Ch. 11.3 - The article referenced in the previous exercise...Ch. 11.3 - The report Audience Insights: Communicating to...Ch. 11.3 - According to the U.S. Census Bureau, the...Ch. 11.3 - The article Fish Oil Staves Off Schizophrenia (USA...Ch. 11.3 - The report Young People Living on the Edge...Ch. 11.3 - The report Raising Kids and Running a Household:...Ch. 11.3 - The Bureau of Labor Statistics...Ch. 11.3 - The Bureau of Labor Statistics report referenced...Ch. 11.3 - The report The New Food Fights: U.S. Public...Ch. 11.3 - A survey of high school students is described in...Ch. 11.3 - The article Spray Flu Vaccine May Work Better Than...Ch. 11.3 - The following quote is from the article Canadians...Ch. 11.3 - A Harris Poll press release dated November 1,...Ch. 11.3 - Women diagnosed with breast cancer whose tumors...Ch. 11.3 - Gallup surveyed adult Americans about their...Ch. 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. 11.5 - Use the information given in the previous exercise...Ch. 11.5 - Prob. 66ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 70ECh. 11.6 - The article Rapid Evolutionary Response to a...Ch. 11.6 - Prob. 72ECh. 11.6 - Prob. 74ECh. 11.6 - Prob. 75ECh. 11.6 - As part of a study described in the report I Cant...Ch. 11.6 - Prob. 78ECh. 11 - A deficiency of the trace element selenium in the...Ch. 11 - Prob. 80CRCh. 11 - In a study of a proposed treatment for diabetes...Ch. 11 - When a surgeon repairs injuries, sutures (stitched...Ch. 11 - Prob. 83CRCh. 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 - The article Truth and DARE: Tracking Drug...Ch. 11 - The article Softball Sliding Injuries (American...Ch. 11 - Wayne Gretzky was one of ice hockeys most prolific...Ch. 11 - Heres one to sink your teeth into: The authors of...Ch. 11 - Dentists make many people nervous. To see whether...Ch. 11 - Both surface soil and subsoil specimens were taken...
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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
- Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp Mean Median First Quartile (Q1) Second Quartile (Q2) Third Quartile (Q3) Fourth Quartile (Q4) 10th Percentile 70th Percentile Skewness Kurtosis Document Your Results: In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command” In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…arrow_forward2 (VaR and ES) Suppose X1 are independent. Prove that ~ Unif[-0.5, 0.5] and X2 VaRa (X1X2) < VaRa(X1) + VaRa (X2). ~ Unif[-0.5, 0.5]arrow_forward8 (Correlation and Diversification) Assume we have two stocks, A and B, show that a particular combination of the two stocks produce a risk-free portfolio when the correlation between the return of A and B is -1.arrow_forward
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