For the academic year 1999-2000, the mean expenditure on womens athletic scholarships per institution in the NCAA
Question:
For the academic year 1999-2000, the mean expenditure on women’s athletic scholarships per institution in the NCAA Division I was $1,055,500. This statistic was cited in USA Today (June, 2002). Suppose that a recent sample of 36 such institutions yielded a mean expenditure of #1,130,000 with a standard deviation of $220,000.
Using alpha = 0.05, can you conclude that the mean expenditure on such scholarships for all institutions in the NCAA Division I has increased since the 1999-2000 academic year? the formula used and value of the test statistic, the p-value, and your conclusion.
b) How would your results change if the significance level were changed to .01? .10? What, if any, general conclusions can you make about the effect of changing the significance level?