Researchers doing a study of incomes in a large metropolitan area want to determine if residents...

Researchers doing a study of incomes in a large metropolitan area want to determine if residents in Suburban District 1 have different mean income from residents in Suburban District 2. They collected the data and found the following sample means and variances. Use these data to conduct a hypothesis test of their research question, using α = .05.

	Suburban District 1	Suburban District 1
Sample Size	50	49
Sample Mean	₁ = 34,270	₂ = 32,780
Sample Variance	= 8740	= 6580

State the null and alternative hypotheses in words and in symbols. (4 points)

Is this a one-sided or a two-sided test? How do you know? (3 points)

Should you use a z-test or a t-test for this problem? Why? (3 points)

Find the critical value of the test statistic. (4 points)

Calculate the value of the test statistic for this sample. (8 points)

Based on these results, can you reject the null hypothesis or not? Write a sentence to explain your conclusion. (4 points)

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Expert Solution

orchestra answered 1 year ago

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