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.