Chapter 11: Q 55 (page 658)
Short Answer
We use test for independence
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Chapter 11: Q 55 (page 658)
We use test for independence
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According to an avid aquarist, the average number of fish in a -gallon tank is , with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is two. She counts the number of fish in other -gallon tanks. Based on the results that follow, do you think that the standard deviation is different from two? Data:
In general, if the observed values and expected values of a goodness-of-fit test are not close together, then the test statistic can get very large and on a graph will be way out in the right tail.
Determine the appropriate test to be used in the next three exercises.
An archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on
previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate.
You want to buy a specific computer. A sales representative of the manufacturer claims that retail stores sell this computer at an average price of with a very narrow standard deviation of . You find a website that has a price comparison for the same computer at a series of stores as follows: . Can you argue that pricing has a larger standard deviation than claimed by the manufacturer? Use the significance level. As a potential buyer, what would be the practical conclusion from your analysis?
a. Explain why a goodness-of-fit test and a test of independence are generally right-tailed tests.
b. If you did a left-tailed test, what would you be testing?
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