2. A word processing center claims that it provides an average turnaround time of 3.2 days or less. In order to test this claim a sample of 16 jobs was taken. The sample mean turnaround time was equal to 3.4 days and the sample standard deviation was equal to 1.9 days. Assuming a normal population distribution, test the null hypothesis that the true mean is 3.2 days against the alternative that it is greater, at the 5 percent significance level.

Step 1:Write the null & alternative hypotheses (4 pts.)

Step 2: Write the significance level of the test (1 pt.)

Step 3: write the appropriate test-statistic (3 pts)

Step 4: Find the calculated value of the test-statistic or plug & chug (2 pts)

Step 5: Find and write the critical value of the test (2 pts)

Step 6: Write your decision about this test. (3 pts.)