CFA Level I Chartered Financial Analyst CFA I Dumps in PDF

Free CFA CFA I Real Questions (page: 141)

Which measure of central tendency is used to determine the average annual percent increase?

  1. Mode
  2. Mean
  3. Weighted mean
  4. Median
  5. Geometric mean

Answer(s): E

Explanation:

The formulaic presentation of the geometric mean is suited for calculating percentage changes. The geometric mean of a set of n positive numbers and is defined as the nth root of the product of the n numbers The two main uses of the geometric mean (GM) are:
1. To average percents, indexes, and relatives, and
2. To determine the average percent increase in sales, production or other business or economic series from one time period to another.



Given the following four points: (-2, 0), (-1,0), (0,1), (1, 1) and (2, 3)

What is the standard error of the regression line estimate?

  1. None of these answers
  2. 0.135
  3. 0
  4. 0.606
  5. 0.367

Answer(s): C

Explanation:

For this, you need to create tables with columns for X,Y,XY,X^2,Y' and Y-Y'. This will be as follows.
XYXY X^2 Y'Y-Y'
-2004-0.40.4
-10010.3-0.3
010010
11111.7-0.7
23642.40.6
Sum057100
N=5.
The regression equation is Y' = a + bX.
The standard error of estimate is
s = sq. root of [S(Y-Y')^2/n-2] where S stands for "Sum of." S = [0^2/3] = 0.



A study of the opinion of designers with respect to the primary color most desirable for use in executive offices

showed that:

Primary Color Number of Opinions
Red 92
Orange 86
Yellow 46
Green 91
Blue 37
Indigo 46
Violet 2

What is the probability that a designer does not prefer yellow?

  1. 1.000
  2. 0.885
  3. None of these answers
  4. 0.765
  5. 0.000

Answer(s): B

Explanation:

There are 400 opinions. 46/400 prefer yellow. So 1 - 46/400 = 177/200 = 0.885 does not prefer yellow.



What is the median of 26, 30, 24, 32, 32, 31, 27 and 29?

  1. 32
  2. 30
  3. None of these answers
  4. 29
  5. 29.5

Answer(s): E

Explanation:

Ordering the numbers we have 24,26,27,29,30,31,32,32. Since there is an even number of observations (8), the median is the average of the two middle observations (29 + 30)/2 = 29.5.



If the significance level of a test is the probability of incorrectly rejecting the null hypothesis, then the "power of a test" is defined as which of the following? Choose the best answer.

  1. The probability of a Type II error.
  2. More than one of these answers is correct.
  3. The "power of a test" is a nonsensical term.
  4. The probability of incorrectly accepting the alternate hypothesis.
  5. The probability of correctly rejecting the null.
  6. The probability of a Type I error.

Answer(s): E

Explanation:

If the significance level of a test is the probability of incorrectly rejecting the null hypothesis (a Type I error), then the power of the test is defined as the probability of correctly rejecting the null hypothesis. In other words, the power of a test is equal to (1 - the probability of a Type II error). The standard method of hypothesis testing involves stating only the significance level, which is equal to the probability of a Type I error.



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