14.16 [EX14-16] In “The Annual Report on the Economic Status of the Profession” done by American Association of University Professors, the mean salary of a full professor was reported to be

$83,282. The following table lists the average salary (in dollars) for a random sample of institutions in Colorado.

54,500 63,000 83,600 67,000 49,700 60,800 47,700 82,200 86,800 73,900 57,700 58,200 62,200 82,000 78,500 70,000 96,100 89,700 57,200 55,400 Using the computer output that follows, test the claim that the median salary of full professors in Colorado is lower than the mean for the whole country by writing the hypotheses and verifying the number below and the number above the median.
Complete the test by using the p-value given and   0.05. Verify the given p-value using Table 12 in Appendix B.
Sign Test for Median: C1 Sign test of median  83282 versus  83282 N Below Equal Above P C1 20 16 0 4 0.0059