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A researcher wishes to test the claim that the average cost of tuition and fees at a 4-year college at least $7000. She selects a random sample of 81 colleges and finds the mean to be $6900. The standard deviation is $500.

a. Is there evidence to support the claim at α = .06?

b. Suppose no claim was made but the researcher is thinking of making a claim using a 95% two-sided confidence interval. Using the same data, construct the CIE interval.

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