A simple random sample of 59 colleges and universities in the United State had a mean tuition of $18,661 with a standard deviation of $9,031. a. Construct a 83% confidence interval for the mean tuition for all colleges and universities in the United States. Please round the answers to 3 decimal places Critical value: 2 or t* = Margin of Error: E = Confidence Interval: [ (Enter the positive one.) b. Interpret your result in part (a) in a complete sentence.

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