Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 15.5, Problem 15.51ACI
Public defenders’ salaries. Random samples of seven lawyers employed as public defenders were selected from each of three major cities. Their salaries are recorded in the table on the top of the next column. You have been hired to determine whether differences exist among the salary distributions for public defenders in the three cities.
| Atlanta | Los Angeles | Washington, D.C. |
| $39.600 | $47.400 | $48.000 |
| 89.900 | 140.000 | 86.900 |
| 66.700 | 68.000 | 58.000 |
| 43.900 | 48.700 | 82.600 |
| 82200 | 74.400 | 83.200 |
| 88.600 | 102.000 | 61.800 |
| 64.800 | 54.500 | 65.000 |
| Source: Based on average salaries reported in www.glassdoor.com. | ||
- a. Under what circumstances would it be appropriate to use the F-test for a completely randomized design to perform the required analysis?
- b. Which assumptions required by the F-test are likely to be violated in this problem? Explain.
- c. Use the Kruskai-Wallis H-test to determine whether the salary distributions differ among the three cities. Specify your null and alternative hypotheses and state your conclusions in the context of the problem. Use α = .05.
- d. What assumptions are necessary to ensure the validity of the nonparametric test in part c?
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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 15 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 15.2 - Under what circumstances is the sign test...Ch. 15.2 - What is the probability that a randomly selected...Ch. 15.2 - Use Table I of Appendix D to calculate the...Ch. 15.2 - Consider the following sample of 10 measurements....Ch. 15.2 - Suppose you wish to conduct a test of the research...Ch. 15.2 - Accidents at construction sites. Refer to the...Ch. 15.2 - Salaries of experienced MBA graduates. According...Ch. 15.2 - Caffeine in Starbucks coffee. Researchers at the...Ch. 15.2 - Short-sale stock returns. The Securities and...Ch. 15.2 - Lobster trap placement. Refer to the Bulletin of...
Ch. 15.2 - Repair and replacement costs of water pipes. Refer...Ch. 15.2 - Performance of stock screeners. Refer to Exercise...Ch. 15.2 - Radon exposure in Egyptian tombs. Refer to the...Ch. 15.2 - Prob. 15.14ACICh. 15.3 - Prob. 15.15LMCh. 15.3 - Specify the test statistic and the rejection...Ch. 15.3 - Prob. 15.17LMCh. 15.3 - Prob. 15.18LMCh. 15.3 - Prob. 15.19ACBCh. 15.3 - Prob. 15.21ACBCh. 15.3 - Prob. 15.22ACBCh. 15.3 - The X-Factor in golf performance. Many golf...Ch. 15.3 - Prob. 15.24ACICh. 15.3 - Prob. 15.25ACICh. 15.3 - Prob. 15.26ACICh. 15.3 - Does rudeness really matter in the workplace?...Ch. 15.3 - Prob. 15.28ACICh. 15.4 - Prob. 15.29LMCh. 15.4 - Prob. 15.30LMCh. 15.4 - Prob. 15.31LMCh. 15.4 - Prob. 15.32LMCh. 15.4 - Twinned drill holes. Refer to the Exploration and...Ch. 15.4 - Prob. 15.34ACBCh. 15.4 - Prob. 15.35ACBCh. 15.4 - Prob. 15.36ACBCh. 15.4 - Prob. 15.37ACBCh. 15.4 - Prob. 15.38ACICh. 15.4 - Prob. 15.39ACICh. 15.4 - Prob. 15.40ACICh. 15.4 - Prob. 15.41ACICh. 15.4 - Prob. 15.42ACICh. 15.5 - Under what circumstances does the 2 distribution...Ch. 15.5 - Data were collected from three populations, A, B....Ch. 15.5 - Prob. 15.45LMCh. 15.5 - Prob. 15.46ACBCh. 15.5 - Prob. 15.47ACBCh. 15.5 - Prob. 15.48ACBCh. 15.5 - Prob. 15.49ACBCh. 15.5 - Prob. 15.50ACICh. 15.5 - Public defenders salaries. Random samples of seven...Ch. 15.5 - Prob. 15.52ACICh. 15.5 - Prob. 15.53ACICh. 15.6 - Prob. 15.54LMCh. 15.6 - Prob. 15.55LMCh. 15.6 - Prob. 15.56LMCh. 15.6 - Prob. 15.57ACBCh. 15.6 - Condit ions impeding farm production. A review of...Ch. 15.6 - Peer mentor training at a firm. Refer to the...Ch. 15.6 - Prob. 15.60ACBCh. 15.6 - Prob. 15.61ACICh. 15.6 - Prob. 15.62ACICh. 15.6 - Prob. 15.63ACICh. 15.6 - Prob. 15.64ACICh. 15.6 - Prob. 15.65ACICh. 15.7 - Prob. 15.66LMCh. 15.7 - Prob. 15.67LMCh. 15.7 - The following sample data were collected on...Ch. 15.7 - Compute Spearman s rank correlation coefficient...Ch. 15.7 - Charisma of top-level leaders. Refer to the...Ch. 15.7 - Prob. 15.71ACBCh. 15.7 - Prob. 15.72ACBCh. 15.7 - Prob. 15.73ACBCh. 15.7 - Prob. 15.74ACICh. 15.7 - Prob. 15.75ACICh. 15.7 - Prob. 15.76ACICh. 15.7 - Prob. 15.77ACICh. 15.7 - Sweetness of orange juice Refer to the orange...Ch. 15.7 - Americas most reputable companies. Forbes magazine...Ch. 15 - The data for three independent random samples are...Ch. 15 - Prob. 15.81LMCh. 15 - Two independent random samples produced the...Ch. 15 - Prob. 15.83LMCh. 15 - Prob. 15.84ACBCh. 15 - Prob. 15.85ACBCh. 15 - Office rental growth rates Real estate market...Ch. 15 - RIF plan to fire older employees. Reducing the...Ch. 15 - Prob. 15.88ACBCh. 15 - Wine-tasting experiment. Two expert wine tasters...Ch. 15 - Employee suggestion system. An employee suggestion...Ch. 15 - Prob. 15.91ACICh. 15 - Prob. 15.92ACICh. 15 - Prob. 15.93ACICh. 15 - Prob. 15.94ACICh. 15 - Cooling method for gas turbines. Refer to the...Ch. 15 - Flexible working hours program. A job-scheduling...Ch. 15 - Fluoride in drinking water. Many water treatment...Ch. 15 - Does fatigue lead to more defectives? A...Ch. 15 - Prob. 15.99ACICh. 15 - Prob. 15.100ACICh. 15 - Prob. 15.101ACICh. 15 - Groundwater contamination of wells. Methyl...
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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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