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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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Pennsylvania Lottery and ?2 Test Assume that we want to

Chapter 8, Problem 9RE

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QUESTION:

Problem 9RE

Pennsylvania Lottery and χ2 Test Assume that we want to use the same sample data from Exercise to test the claim that the standard deviation of all drawn numbers is less than 15.0. Why can’t we use a χ2 test with the methods described in Section 8-4?

Exercise

Pennsylvania Lottery In the Pennsylvania Match 6 lottery, six numbers between 1 and 49 are randomly drawn. To simulate the number selection process, a TI-83/84 Plus calculator was used to randomly generate 100 numbers between 1 and 49 inclusive. The sample has a mean of 24.2 and a standard deviation of 14.1. Use a 0.01 significance level to test the claim that the sample is selected from a population with a mean equal to 25, which is the mean of the population of all drawn numbers.

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QUESTION:

Problem 9RE

Pennsylvania Lottery and χ2 Test Assume that we want to use the same sample data from Exercise to test the claim that the standard deviation of all drawn numbers is less than 15.0. Why can’t we use a χ2 test with the methods described in Section 8-4?

Exercise

Pennsylvania Lottery In the Pennsylvania Match 6 lottery, six numbers between 1 and 49 are randomly drawn. To simulate the number selection process, a TI-83/84 Plus calculator was used to randomly generate 100 numbers between 1 and 49 inclusive. The sample has a mean of 24.2 and a standard deviation of 14.1. Use a 0.01 significance level to test the claim that the sample is selected from a population with a mean equal to 25, which is the mean of the population of all drawn numbers.

ANSWER:

Solution 9RE

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