Bundle: Statistics for Business & Economics, Loose-Leaf Version, 13th + MindTap Business Statistics with XLSTAT, 1 term (6 months) Printed Access Card
13th Edition
ISBN: 9781337148092
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 11.2, Problem 17E
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $170 and a sample of 25 automobiles 2 years old showed a sample standard deviation for annual repair costs of $100.
- a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles.
- b. At a .01 level of significance, what is your conclusion? What is the p-value? Discuss the reasonableness of your findings.
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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
Bundle: Statistics for Business & Economics, Loose-Leaf Version, 13th + MindTap Business Statistics with XLSTAT, 1 term (6 months) Printed Access Card
Ch. 11.1 - Find the following chi-square distribution values...Ch. 11.1 - A sample of 20 items provides a sample standard...Ch. 11.1 - A sample of 16 items provides a sample standard...Ch. 11.1 - The variance in drug weights is critical in the...Ch. 11.1 - John Calipari, head basketball coach for the 2012...Ch. 11.1 - Americans spend nearly 7 billion on Halloween...Ch. 11.1 - To analyze the risk, or volatility, associated...Ch. 11.1 - Consider a day when the Dow Jones industrial...Ch. 11.1 - An automotive part must be machined to close...Ch. 11.1 - Consumer Reports uses a 100-point customer...
Ch. 11.1 - At the end of 2008, the variance in the semiannual...Ch. 11.1 - A Fortune study found that the variance in the...Ch. 11.2 - Find the following F distribution values from...Ch. 11.2 - A sample of 16 items from population 1 has a...Ch. 11.2 - Consider the following hypothesis test....Ch. 11.2 - Investors commonly use the standard deviation of...Ch. 11.2 - Most individuals are aware of the fact that the...Ch. 11.2 - Data were collected on the top 1000 financial...Ch. 11.2 - The variance in a production process is an...Ch. 11.2 - On the basis of data provided by a Romac salary...Ch. 11.2 - Many smartphones, especially those of the...Ch. 11.2 - A research hypothesis is that the variance of...Ch. 11 - Because of staffing decisions, managers of the...Ch. 11 - Initial public offerings (IPOs) of stocks are on...Ch. 11 - The estimated daily living costs for an executive...Ch. 11 - Part variability is critical in the manufacturing...Ch. 11 - The filling variance for boxes of cereal is...Ch. 11 - City Trucking, Inc., claims consistent delivery...Ch. 11 - A sample of 9 days over the past six months showed...Ch. 11 - A sample standard deviation for the number of...Ch. 11 - Is there any difference in the variability in golf...Ch. 11 - The grade point averages of 352 students who...Ch. 11 - The accounting department analyzes the variance of...Ch. 11 - Two new assembly methods are tested and the...
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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…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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