Community College Tuition. Use the following information for Exercises 53–63. The College Board reported that the mean tuition and fees at community colleges nationwide for the 2013–2014 academic year was $3264. Data were gathered on the total tuition and fees for a random sample of 10 community colleges in 2015. The normal probability plot is shown here.

image
Normal probability plot.

Question 9.254

58. A 95% confidence interval for the population mean tuition and fees is given by lower bound = $3227, upper bound = $3854. Use this confidence interval to test, at level of significance , whether differs from the following values.

  1. $4000
  2. $3500
  3. $3264