Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
8th Edition
ISBN: 9781337114172
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 7, Problem 42SE
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 42SE
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 42SE
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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The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so)
https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharing
The following relates to Problems 4 and 5.
Christchurch, New Zealand experienced a major earthquake on February 22, 2011. It destroyed 100,000
homes. Data were collected on a sample of 300 damaged homes. These data are saved in the file called
CIEG315 Homework 4 data.xlsx, which is available on Canvas under Files. A subset of the data is
shown in the accompanying table. Two of the variables are qualitative in nature: Wall construction and
roof construction. Two of the variables are quantitative: (1) Peak ground acceleration (PGA), a measure
of the intensity of ground shaking that the home experienced in the earthquake (in units of acceleration of
gravity, g); (2) Damage, which indicates the amount of damage experienced in the earthquake in New
Zealand dollars; and (3) Building value, the pre-earthquake value of the home in New Zealand dollars.
PGA (g) Damage (NZ$) Building Value (NZ$) Wall Construction Roof Construction
Property ID
1
0.645
2
0.101
141,416
2,826
253,000
B
305,000
B
T
3…
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Chapter 7 Solutions
Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
Ch. 7.2 - Consider a finite population with five elements...Ch. 7.2 - Assume a finite population has 350 elements. Using...Ch. 7.2 - Industrial Stock Performance. Fortune publishes...Ch. 7.2 - The 10 most active stocks on the New York Stock...Ch. 7.2 - A student government organization is interested in...Ch. 7.2 - 6. The County and City Data Book, published by the...Ch. 7.2 - 7. Assume that we want to identify a simple random...Ch. 7.2 - 8. The following stocks make up the Dow Jones...Ch. 7.2 - 9. The Wall Street Journal provides the net asset...Ch. 7.2 - 10. Indicate which of the following situations...
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 - The National Football League (NFL) polls fans to...Ch. 7.3 - 16. A sample of 426 U.S. adults age 50 and older...Ch. 7.3 - 17. One of the questions in the Pew Internet &...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 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - The Economic Policy Institute periodically issues...Ch. 7.5 - 28. The state of California has a mean annual...Ch. 7.5 - 29. The mean preparation fee H&R Block charged...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 - Prob. 37ECh. 7.6 - Unnecessary Medical Care. According to Readers...Ch. 7.6 - Prob. 39ECh. 7.6 - 40. The Grocery Manufacturers of America reported...Ch. 7.6 - 41. The Food Marketing Institute shows that 17% of...Ch. 7 - Shadow Stocks. Jack Lawler, a financial analyst,...Ch. 7 - The latest available data showed health...Ch. 7 - 44. Foot Locker uses sales per square foot as a...Ch. 7 - Allegiant Airlines charges a mean base fare of 89....Ch. 7 - After deducting grants based on need, the average...Ch. 7 - Prob. 47SECh. 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 - Managerial Report Prepare a managerial report that...
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