MATH - STATISTICS: Problem 2

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 = .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.