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A 1993 study of in-state annual tuition rates at public schools in the US drew a random sample of 56 public colleges and universities that had a mean of $2,319 and a standard deviation of $1,136. Construct the 95% confidence interval for the true mean annual, in-state tuition costs for US colleges and universities in 1993. In an interview from 1993, a college president claimed the $3,527 per year in-state tuition that his college charged was average for public schools. Does the interval you created contradict his claim?