单项选择题An analyst does research about central tendency and gathers the following information about a company:
The harmonic mean for the company's price-to-earnings ratio is closest to:
| Year | Earnings per Share | Market Price per Share | Price-to-Earnings Ratio |
| 2009 | $4.00 | $28 | 7.0 |
| 2010 | $2.00 | $22 | 11.0 |
| 2011 | $3.00 | $19.5 | 6.5 |
A. 7.74
B. 7.94
C. 8.17
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1.单项选择题An analyst does research about sampling and estimation. With respect to statistical analysis, a sample statistics is least described as:
A. the set of rules used to select a sample.
B. quantity computed from a sample.
C. descriptive measure of a sample.
2.单项选择题An analyst does research about common probability distribution and estimates an asset turnover ratio will range from 1.7 to 2.4. If the ratio follows continuous uniform distribution, the probability the company's asset turnover ratio will be less than 2.1 is closest to:
A. 43.9%
B. 57.1%
C. 70.0%
3.单项选择题An analyst does research about the coefficient of covariance and the Sharpe ratio. A security's mean return is positive and more than its standard deviation of returns. If the risk-free rate is zero, the coefficient of covariance is most likely:
A. less than the Sharpe ratio.
B. equal to the Sharpe ratio.
C. greater than the Sharpe ratio.
4.单项选择题An analyst does research about sampling. Compared to estimates of parameters produced from simple random sampling, estimates of parameters produced from stratified random sampling most likely have:
A. less precision.
B. the same precision.
C. greater precision.
5.单项选择题An analyst does research about Bayes' formula and estimates the following information regarding bonus for management and the net income of a company:
The analyst's prior probability that management received a bonus is 0.5. Using Bayes' formula, if the company announces an increase in net income, the probability management received a bonus is closest to:
| Event | Probability |
| Net income increases given management received a bonus | 0.7 |
| Net income mcreases given management did not receive a bonus | 0.3 |
A. 0.22
B. 0.78
C. 0.86
6.单项选择题An analyst does research about sampling and estimation and gathers the following information about the performance of a sample of funds from each of three different categories of mutual funds:
The smallest standard error of the sample mean is associated with the sample from:（）
| Sample | Population Standard Deviation | Sample Mean | Sample Size |
| Category 1 | 15% | 9.9% | 40 |
| Category 2 | 16% | 10.3% | 50 |
| Category 3 | 19% | 8.7% | 65 |
A. Category 1.
B. Category 2.
C. Category 3.
7.单项选择题A well-diversified investor holds an equal investment in cash of the equity shares of Meyer, Inc., Johnson, Inc., and Fairfax Enterprises. The three companies operate in the same industry and will benefit equally from a favorable decision in a pending court case. The investor concludes that the current stock prices for Meyer and Johnson each reflect a 50 percent probability that the decision will be favorable to the industry, while the current stock price for Fairfax reflects a 70 percent probability that the decision will be favorable. The most. appropriate strategy for the investor is to:
A. sell Fairfax shares and use the proceeds to purchase additional shares in Meyer and Johnson.
B. sell both Meyer and Johnson shares and use the proceeds to purchase additional shares in Fairfax.
C. reallocate the investment in the industry to 15 percent in Meyer, 15 percent in Johnson, and 70 percent in Fairfax.
9.单项选择题An analyst does research about standard deviation and forecasts the following information about earnings per share (EPS):
The standard deviation of earnings per share is closest to:
| Scenario | Probability of Scenario | Earnings per share |
| 1 | 0.25 | $8.10 |
| 2 | 0.75 | $6.15 |
A. 0.51
B. 0.71
C. 0.84
10.单项选择题An analyst does research about hypothesis testing. Which of the following test statistics is most appropriate test statistics for two means based on samples that we believe are dependent
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C. Chi-square test.
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