QUESTION: 1009

A sample of size 100 is drawn from a population. The sample mean equals 35.2 and the variance of the sample equals 47.8. The 95% confidence interval for the population mean is given by:

[33.13, 37.27]
[35.13, 35.27]
[35.06, 35.34]
[33.85, 36.56]

Answer(s): D

Explanation:

If z is the z-value corresponding to the specified confidence level, the sample mean is M and the standard deviation is D in a sample size N, the confidence interval is specified as [M - z*D/sqrt(N), M + z*D/sqrt(N)]. In the present case, for the 95% confidence interval, z = 1.96. The sample standard deviation equals sqrt(47.8) = 6.91. Therefore, the confidence interval equals [35.2 - 1.96*6.91/sqrt(100), 35.2 - 1.96*6.91/sqrt(100)] = [33.85, 36.56]

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QUESTION: 1010

Which of the following is correct about a probability distribution?

None of these answers
Sum of the probabilities of all possible outcomes must equal 1
Probability of each outcome must be between 0 and 1 inclusive
Outcomes must be mutually exclusive
All of these answers

Answer(s): E

Explanation:

All describes properties of a probability distribution.

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QUESTION: 1011

Suppose that events A, B, C, and D are independent, and have probabilities of 0.25, 0.50, 0.40, and 0.30, respectively. What is P(ABCD)?

1.0%.
15.0%.
1.5%.
0.15.

Answer(s): C

Explanation:

If events are independent, then the joint probability of them occurring together is just the product of the individual probabilities. So P(ABCD) = 0.25 * 0.50 * 0.40 * 0.30 = 1.5%.

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QUESTION: 1012

If r = .65, what does the coefficient of determination equal?

0.423
None of these answers
0.577
0.806
0.194

Answer(s): A

Explanation:

The coefficient of determination is r-squared.

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QUESTION: 1012

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