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Course: ECON 2843, Spring 2008School: The University of Oklahoma
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2843 ECON Quiz 3 Fall 2005 Name ID # KEY Students must show all work on problems that involve calculation. Questions 1 through 3 refer to the following. The diameter of ping-pong balls manufactured at a large factory is expected to be approximately normally distributed with a mean of 1.30 inches and a standard deviation of .04 inch. 1. What is the probability that a randomly selected ping-pong ball will have a...
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2843 ECON Quiz 3 Fall 2005
Name ID #
KEY
Students must show all work on problems that involve calculation. Questions 1 through 3 refer to the following. The diameter of ping-pong balls manufactured at a large factory is expected to be approximately normally distributed with a mean of 1.30 inches and a standard deviation of .04 inch. 1. What is the probability that a randomly selected ping-pong ball will have a diameter less than 1.28 inches? Circle the correct answer but also show your work. a. b. c. d. e. f. .3085 * .4801 .5199 50% 69.15% .8632
2.
What is the probability that a randomly selected ping-pong ball will have a diameter between 1.31 and 1.33 inches? Circle the correct answer but also show your work. a. b. c. d. e. f. .1747 * .5000 .5987 .7734 .8253 approximately 1
3.
Refer to question 1. Suppose that a random sample of 16 balls is selected. What the is probability that the sample mean differs from the population mean by less than .0136 inches? Circle the correct answer but also show your work. a. b. c. d. e. f. .1331 .1738 .2662 .4131 .7338 .8262
*
1
4.
At a street intersection in Norman, 4% of all drivers run a red light. From the very large number of drivers on a given day, 350 drivers are selected at random. What is the approximate probability that between seven and eleven of the drivers will run the red light? Circle the correct answer but also show your work. a. b. c. d. e. f. .0936 .1028 .1780 * .5874 .1.09 between .09 and .64
5.
The life of computer speakers is assumed to be normally distributed with a mean of 18 years and a variance of 29.7025 years2. If 40 speakers are selected at random, what is the probability that the sample mean speaker lifetime will be greater than 20 years?
.0102
2
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