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.
55. For the sample of 10 community colleges, the sample mean tuition and fees was $3541 with a sample standard deviation of $438. Test whether the population mean tuition and fees have increased using level of significance .
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Step 1
Step 2 Reject if .
Step 3
Step 4 is . Therefore we reject . There is evidence at level of significance that the population mean tuition and fees for community colleges has increased from the previous level of $3264.