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CFA Level I Chartered Financial Analyst Questions 791–795 (page: 160)

Updated On: 9-Feb-2026

The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41 and 22. What is the population variance?

  1. 91.4
  2. 106.8
  3. None of these answers
  4. 240.3
  5. 42.4

Answer(s): B

Explanation:

Population variance = (Sum of squared deviation from the mean)/N. the mean is 28. Population variance = (100 + 4 + 225 + 169 + 36)/5 = 534/5 = 106.8
xx-mean(x-mean)^2
3810100
26-24
13-15225
4113169
22-636



If you deposit $100 a month, beginning next month, for 20 years into an account paying 8% per year, compounded monthly, how much is in your account after that last deposit?

  1. $2,131.88
  2. $58,902.04
  3. $4,576.20
  4. $61,549.18
  5. $24,000.00

Answer(s): B

Explanation:

On the BAII Plus, press 240 N, 8 divide 12 = I/Y, 0 PV, 100 PMT, CPT FV. On the HP12C, press 240 n, 8 ENTER 12 divide i, 0 PV, 100 PMT, FV. On the BAII Plus, make sure the value of P/Y is set to 1. Note that the answer is displayed as a negative number.



Rhonda McLeavon, a quantitative analyst with Churn Brothers Brokerage, has been instructed to perform a statistical analysis to test whether increases in marketing expenses amongst drug companies is positively related to institutional buying of these same companies' common stock. Rhonda begins her analysis and performs the following steps, in succession:

Step 1: Formulating and stating the hypothesis
Step 2: Identifying the appropriate test statistic and probability distribution Step 3: Specifying the significance level
Step 4: Stating the decision rule

Now that these first four steps have been completed, Ms. McLeavon should proceed with which of the following? Choose the best answer.

  1. None of these answers is correct
  2. Collecting the data and performing the calculations
  3. Determining the z-statistic
  4. Determining the p-value
  5. Performing and autocorrelation test to identify any heterskedasticity problems
  6. Evaluating the goodness of fit

Answer(s): B

Explanation:

Hypothesis testing involves a series of seven explicit steps:
Step 1: Formulating and stating the hypothesis
Step 2: Identifying the appropriate test statistic and its probability distribution Step 3: Specifying the significance level
Step 4: Stating the decision rule
Step 5: Collecting the data and performing the necessary calculations Step 6: Making the statistical decision
Step 7: Making the economic/investment decision.



As the size of the sample increases, what happens to the shape of the sampling mean?

  1. Negatively skewed
  2. Cannot be predicted in advance
  3. Positively skewed
  4. None of these answers
  5. Approaches a normal distribution

Answer(s): E

Explanation:

The central limit theorem states that as the sample size gets larger, the sampling distribution of the sample means becomes approximately normal.



The coefficient of variation (CV) for a set of annual incomes is 18%; the coefficient of variation for the length of service with the company is 29%. What does this indicate?

  1. More dispersion in the distribution of the incomes compared with the dispersion of their length of service
  2. Dispersions are equal
  3. Dispersions in the two distributions (income and service) cannot be compared using percents
  4. None of these answers
  5. More dispersion in the lengths of service compared with incomes

Answer(s): E

Explanation:

The CV is the ratio of the standard deviation to the mean, express as a percent. The higher the coefficient, the greater the dispersion.



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