Microeconomics (6th Edition)
Microeconomics (6th Edition)
6th Edition
ISBN: 9780134106243
Author: R. Glenn Hubbard, Anthony Patrick O'Brien
Publisher: PEARSON
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Chapter 10, Problem 10.3.1RQ
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An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold. A random survey of 16 Visa Gold cardholders resulted in a mean household income of $75,650 with a standard deviation of $11,400. A random survey of 7 MasterCard Gold cardholders resulted in a mean household income of $68,280 with a standard deviation of $10,900. Is there enough evidence to support the executive's claim? Let μ₁ be the true mean household income for Visa Gold cardholders and μ2₂ be the true mean household income for MasterCard Gold cardholders. Use a significance level of a = 0.2 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round your answer to three decimal places.
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