Essentials Of Statistics For Business & Economics
9th Edition
ISBN: 9780357045435
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Textbook Question
Chapter 7, Problem 50SE
Shadow Stocks. Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the Shadow Stock portfolio is contained in the file ShadowStocks. Jack would like to select a simple random sample of 5 of these companies for an interview concerning management practices.
- a. In the file ShadowStock, companies are listed in column A of an Excel worksheet. In column B we have generated a random number for each of the companies. Use these random numbers to select a simple random sample of 5 of these companies for Jack.
- b. Generate a new set of random numbers and use them to select a new simple random sample. Did you select the same companies?
a.
Expert Solution
To determine
Select a simple random sample of 5 of the given companies using the given random numbers.
Answer to Problem 50SE
The random sample of 5 of the given companies is tabulated below:
| Company |
Random Number |
| LMI Aerospace | 0.008012 |
| Alpha & Omega Semiconductor | 0.055369 |
| Olympic Steel | 0.059279 |
| Kimball International | 0.144127 |
| International Shipholding | 0.227759 |
Explanation of Solution
Calculation:
The given data represent the Shadow Stock of 30 companies.
Step-by-step procedure to obtain a simple random sample.
- Open the data file Shadow Stocks.
- Sort the random numbers and the corresponding company names into an ascending order.
- Select the companies associated with the first five smallest random numbers.
Thus, the random sample of 5 of the given companies is tabulated below:
| Company |
Random Number |
| LMI Aerospace | 0.008012 |
| Alpha & Omega Semiconductor | 0.055369 |
| Olympic Steel | 0.059279 |
| Kimball International | 0.144127 |
| International Shipholding | 0.227759 |
b.
Expert Solution
To determine
Generate a new random set of random numbers and select a new simple random sample.
Check whether the companies in the new simple random sample are the same as in Part (a).
Answer to Problem 50SE
The new simple random sample of the given companies is as follows:
| Company |
Random Number |
| Five Star Quality Care | 0.018590 |
| SigmaTron International | 0.085862 |
| CSS Industries | 0.097172 |
| REX American Resources Corp | 0.122113 |
| VOXX International Corp | 0.158389 |
The companies in the new random samples do not match with the companies in the random sample of Part (a).
Explanation of Solution
Calculation:
A new simple random sample is to be obtained.
Software procedure:
Step-by-step software procedure to obtain a random sample using EXCEL.
- Open the EXCEL.
- Enter company names in column A.
- Generate a new set of random numbers using the formula “=RAND()” in column B.
- Sort the random numbers and the corresponding company names into an ascending order.
- Select the companies associated with the first five smallest random numbers.
The output obtained using EXCEL software is as follows:
Therefore, the random sample of 5 of the given companies is as follows:
| Company |
Random Number |
| Five Star Quality Care | 0.018590 |
| SigmaTron International | 0.085862 |
| CSS Industries | 0.097172 |
| REX American Resources Corp | 0.122113 |
| VOXX International Corp | 0.158389 |
Here, it is observed that the companies in the new random sample do not match with the companies in the random sample of Part (a).
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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 7 Solutions
Essentials Of Statistics For Business & Economics
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Ch. 7.3 - The following data are from a simple random...Ch. 7.3 - Prob. 12ECh. 7.3 - 13. A sample of 5 months of sales data provided...Ch. 7.3 - 14. Morningstar publishes ratings data on 1208...Ch. 7.3 - Rating Wines. According to Wine-Searcher, wine...Ch. 7.3 - AARP Survey. In a sample of 426 U.S. adults age 50...Ch. 7.3 - Attitudes Toward Automation. The Pew American...Ch. 7.5 - 18. A population has a mean of 200 and a standard...Ch. 7.5 - A population has a mean of 200 and a standard...Ch. 7.5 - 20. Assume the population standard deviation is σ...Ch. 7.5 - 21. Suppose a random sample of size 50 is selected...Ch. 7.5 - Sampling Distribution for Electronic Associates,...Ch. 7.5 - Finding Probabilities for Electronic Associates,...Ch. 7.5 - Barrons reported that the average number of weeks...Ch. 7.5 - SAT Scores. In May 2018, The College Board...Ch. 7.5 - Federal Income Tax Returns. The Wall Street...Ch. 7.5 - College Graduate-Level Wages. The Economic Policy...Ch. 7.5 - State Rainfalls. The state of California has a...Ch. 7.5 - Income Tax Return Preparation Fees. The CPA...Ch. 7.5 - To estimate the mean age for a population of 4000...Ch. 7.6 - A sample of size 100 is selected from a population...Ch. 7.6 - 32. A population proportion is .40. A sample of...Ch. 7.6 - Prob. 33ECh. 7.6 - 34. The population proportion is .30. What is the...Ch. 7.6 - Orders from First-Time Customers. The president of...Ch. 7.6 - The Wall Street Journal reported that the age at...Ch. 7.6 - Food Waste. In 2017, the Restaurant Hospitality...Ch. 7.6 - Unnecessary Medical Care. According to Readers...Ch. 7.6 - Better Business Bureau Complaints. In 2016 the...Ch. 7.6 - 40. The Grocery Manufacturers of America reported...Ch. 7.6 - 41. The Food Marketing Institute shows that 17% of...Ch. 7.9 - A population has a mean of 400 and a standard...Ch. 7.9 - Assume the population standard deviation is = 25....Ch. 7.9 - Prob. 44ECh. 7.9 - Assume that the population proportion is .44....Ch. 7.9 - Vacation Hours Earned by Blue-Collar and Service...Ch. 7.9 - MPG for New Cars. The New York Times reported that...Ch. 7.9 - Repeat Purchases. The president of Colossus.com,...Ch. 7.9 - Landline Telephone Service. According to the U.S....Ch. 7 - Shadow Stocks. Jack Lawler, a financial analyst,...Ch. 7 - Personal Health Expenditures. Data made available...Ch. 7 - 44. Foot Locker uses sales per square foot as a...Ch. 7 - Airline Fares. The mean airfare for flights...Ch. 7 - After deducting grants based on need, the average...Ch. 7 - Prob. 55SECh. 7 - Survey Research Results. A researcher reports...Ch. 7 - Production Quality Control. A production process...Ch. 7 - Australians and Smoking. Reuters reports that 15...Ch. 7 - 51. A market research firm conducts telephone...Ch. 7 - Advertisers contract with Internet service...Ch. 7 - The proportion of individuals insured by the...Ch. 7 - Lori Jeffrey is a successful sales representative...Ch. 7 - Life of Compact Fluorescent Lights. In 2018, the...Ch. 7 - Typical Home Internet Usage. According to USC...Ch. 7 - Undeliverable Mail Pieces. Of the 155 billion...Ch. 7 - U.S. Drivers and Speeding. ABC News reports that...Ch. 7 - Managerial Report Prepare a managerial report that...
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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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