Statistics for Business and Economics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780134456997
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 1.27ACI
The economic return to earning an MBA. What are the economic rewards (e.g., higher salary) to obtaining an MBA degree? This was the question of interest in an article published in the International Economic Review (August 2008). The researchers made inferences based on wage data collected for a sample of 3,244 individuals who sat for the Graduate Management Admissions Test (GMAT). (The GMAT exam is required for entrance into most MBA programs.) The following sampling scheme was employed. All those who took the GMAT exam in any of four selected time periods were mailed a questionnaire. Those who responded to the questionnaire were then sent three follow-up surveys (one survey every 3 months). The final sample of 3,244 represents only those individuals who responded to all four surveys. (For example, about 5,600 took the GMAT in one time period; of these, only about 800 responded to all four surveys.)
- a. For this study, describe the population of interest.
- b. What method was used to collect the sample data?
- c. Do you think the final sample is representative of the population? Why or why not? Comment on potential biases in the sample.
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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 1 Solutions
Statistics for Business and Economics, Student Value Edition (13th Edition)
Ch. 1 - What is statistics?Ch. 1 - Explain the difference between descriptive and...Ch. 1 - List and define the four elements of a descriptive...Ch. 1 - List and define the five elements of an...Ch. 1 - List the three major methods of collecting data...Ch. 1 - Explain the difference between quantitative and...Ch. 1 - Explain how populations and variables differ.Ch. 1 - Explain how populations and samples differ.Ch. 1 - What is a representative sample? What is its...Ch. 1 - Why would a statistician consider an inference...
Ch. 1 - Explain the difference between a population and a...Ch. 1 - Define statistical thinking.Ch. 1 - Suppose youre given a data set that classifies...Ch. 1 - Suppose that a population contains 200,000...Ch. 1 - The Random Numbers applet generates a list of n...Ch. 1 - The Random Numbers applet can be used to select a...Ch. 1 - Applying the ConceptsBasic 1.15 Performance-based...Ch. 1 - Jamming attacks on wireless networks. Terrorists...Ch. 1 - Disaggregation of annually reported accounting...Ch. 1 - College application data. Colleges and...Ch. 1 - Opinion polls. Pollsters regularly conduct opinion...Ch. 1 - Cybersecurity survey. The information systems...Ch. 1 - Treasury deficit prior to the Civil War. In Civil...Ch. 1 - The lucky store effect in lottery ticket sales. In...Ch. 1 - Consumer recycling behavior. Under what conditions...Ch. 1 - Who is better at multi-tasking? In business,...Ch. 1 - Zillow.com estimates of home values. Zillow.com is...Ch. 1 - Drafting NFL quarterbacks. The National Football...Ch. 1 - The economic return to earning an MBA. What are...Ch. 1 - Corporate sustainability and firm characteristics....Ch. 1 - Inspection of highway bridges. All highway bridges...Ch. 1 - Structurally deficient highway bridges. Refer to...Ch. 1 - Monitoring product quality. The Wallace Company of...Ch. 1 - Guilt in decision making. The effect of guilt...Ch. 1 - Accounting and Machiavellianism. Behavioral...Ch. 1 - Can money spent on gifts buy love? Is the gift you...Ch. 1 - Random-digit dialing. To ascertain the...Ch. 1 - Current population survey. The employment status...Ch. 1 - Monitoring the production of soft-drink cans. The...Ch. 1 - Sampling TV markets for a court case. A recent...Ch. 1 - Critical Thinking Challenge 1.40 20/20 survey...
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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
- 9 (Portfolio allocation) Suppose R₁ and R2 are returns of 2 assets and with expected return and variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find −∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest risk.arrow_forward7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forward
- Joy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forwardSolve for X. Explain each step. 2^2x • 2^-4=8arrow_forwardOne hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. Female (F) Male (F′) Total College degree (D) 30 20 50 No college degree (D′) 30 20 50 Total 60 40 100 If a person is selected at random from those surveyed, find the probability of each of the following events.1. The person is female or has a college degree. Answer: equation editor Equation Editor 2. The person is male or does not have a college degree. Answer: equation editor Equation Editor 3. The person is female or does not have a college degree.arrow_forward
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