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. Reject Ho if

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter19: Externalities And Public Goods
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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.
Transcribed Image Text: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.
Reject Ho if
Transcribed Image Text:Reject Ho if
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