ps4 - Econ 41 Statistics for Economists Summer 2007...

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1 Econ 41 Statistics for Economists Summer 2007 Chunming Yuan Problem Set 4 MULTIPLE CHOICE 1. Which of the following is not a characteristic of the normal distribution? a. The total area under the curve is 1.0 b. The curve is symmetric about the mean c. The value of the mean is always greater than the value of the standard deviation d. The two tails of the curve extend indefinitely 2. The tails of a normal distribution curve: a. meet the horizontal axis at z = 3.0 b. never meet or cross the horizontal axis c. cross the horizontal axis at z = 4.0 d. are nonsymmetric 3. For a normal distribution, the z value for the mean is always: a. equal to zero b. negative c. equal to 1 d. positive 4. For the standard normal distribution, the area to the right of z = –.78 is: a. .2177 b. .7177 c. .7823 d. .2823 5. For the standard normal distribution, the area between z = .79 and z = 2.67 is: a. .2110 b. .4962 c. .2852 d. .7814 6. Let x have a normal distribution with a mean of 60 and a standard deviation of 4. The z value for x = 53 is: a. 1.75 b. 1.25 c. –1.75 d. –1.25
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2 7. The heights of all female college basketball players produce a normal distribution with a mean of 68 inches and a standard deviation of 2 inches. The probability that the height of a randomly selected female college basketball player is more than 66.5 inches is: a. .2734 b. .2266 c. .7734 d. .2289 8. The area under the standard normal curve to the right of z is .0505 and z is positive. The value of z is: a. 1.65 b. 1.96 c. 1.64 d. 2.06 9. Suppose that the distribution for a random variable x is normal with mean 12 and standard deviation σ , and P( x < 0) = .1800. What is ? a. 5.72 b. 13.11 c. 32.7184 d. 171.8721 Use the following information to answer questions 10 – 11: In a recent Gallup poll, 54% of parents with children under 18 years of age gave themselves a grade of B for the job they are doing bringing up their kids. Assume that this percentage is true for the current population of all parents with children under 18 years of age. You take a random
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This note was uploaded on 10/02/2008 for the course ECON ECON 41 taught by Professor Yuan during the Summer '07 term at UCLA.

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ps4 - Econ 41 Statistics for Economists Summer 2007...

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