Exam 3: Numerical Descriptive Measures

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Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000.Using Chebyshev's inequality,the percentage of salaries falling between $68,000 and $92,000 is at least __________.

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What is(are)the most widely used measure(s)of dispersion?

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The average class size this semester in the business school of a particular university is 38.1 students with a standard deviation of 12.9 students.The z-score for a class with 21 students is _____.

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The mean grade of the 30 students in Section 1 is 80.The mean grade of the 40 students in Section 2 is 85.The mean grade of the 30 students in Section 3 is 80.What is the mean grade of all students from the three sections combined?

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What is the difference between Analysis of Relative Location and the empirical rule?

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Which of the following is true when using the empirical rule for a set of sample data?

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The annual returns (in percent)for a sample of stocks in the technology industry over the past year are as follows: 4.2 -9.4 2.8 -16.0 -6.6. The average return is the closest to _____.

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Your used car is expected to last an average of 200,000 miles with a standard deviation of 25,000 miles before it requires a new transmission. a.Use Chebyshev's Theorem to approximate the probability that the engine will last between 150,000 miles and 250,000 miles. b.Assume a symmetric bell-shaped distribution to approximate the probability that the engine will last between 150,000 miles and 250,000 miles.

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Suppose the dealer incentive per vehicle for Honda's Acura brand in 2012 is thought to be bell-shaped and symmetrical with a mean of $2,500 and a standard deviation of $300.Based on this information,what interval of dealer incentives would we expect approximately 99.7% of vehicles to fall within?

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Is it possible for a data set to have more than one mode?

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As of September 30,2011,the earnings per share (EPS)of five firms in the biotechnology industry are 1.53 2.29 2.07 1.69 0.07. The sample mean and the sample standard deviation are the closest to _______________.

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In its standard form,Chebyshev's theorem provides a lower bound on __________________________________

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The mean return on equity (ROE)for a group of firms in an industry is 15% with a variance of 9%.The coefficient of variation of the industry's ROE is _____.

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The following data represents the number of unique visitors and the revenue a website generated for the months of July through December. The following data represents the number of unique visitors and the revenue a website generated for the months of July through December.   a.What is the sample standard deviation for the number of unique visitors and the revenue? b.Calculate the coefficient of variations.Which variable has a higher relative dispersion? c.Calculate the sample correlation coefficient between the number of unique visitors and Revenue. d.Comment on the strength of the linear relationship.What does this mean for the owner of the website? a.What is the sample standard deviation for the number of unique visitors and the revenue? b.Calculate the coefficient of variations.Which variable has a higher relative dispersion? c.Calculate the sample correlation coefficient between the number of unique visitors and Revenue. d.Comment on the strength of the linear relationship.What does this mean for the owner of the website?

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How do we find the median if the number of observations in a data set is odd?

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The sample data below shows the number of hours spent by five students over the weekend to prepare for Monday's Business Statistics exam. 3 12 2 3 5. The sample standard deviation of the number of hours spent by the five students is the closest to _________.

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Outliers are extreme values above or below the mean that require special consideration.

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What is(are)the characteristic(s)of the coefficient of variation?

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As of September 30,2011,the earnings per share,EPS,of five firms in the beverages industry are as follows: 1.13 2.41 1.52 1.40 0.41 The 25th percentile and the 75th percentile of the EPS are the closest to __________.

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The table below gives statistics relating to a hypothetical 10-year record of two portfolios.Assume other statistics relating to these portfolios are the same and the risk-free rate is 3.5%.Using the coefficient of variation and the Sharpe ratio,the fund that is preferred in terms of relative risk and return per unit of risk is: ________________________________________. The table below gives statistics relating to a hypothetical 10-year record of two portfolios.Assume other statistics relating to these portfolios are the same and the risk-free rate is 3.5%.Using the coefficient of variation and the Sharpe ratio,the fund that is preferred in terms of relative risk and return per unit of risk is: ________________________________________.   Using the coefficient of variation and the Sharpe ratio,the fund that is preferred in terms of relative risk and return per unit of risk is ______________________________________________. Using the coefficient of variation and the Sharpe ratio,the fund that is preferred in terms of relative risk and return per unit of risk is ______________________________________________.

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