The AAUP conducted a study on faculty salaries between private universities (population 1) and public universities (population 2). In a random sample of 35 private universities (sample 1), the average salary was $88,190.00, with a standard deviation of $28,170.00. In a random sample of 31 public universities (sample 2) the average salary was $73,180.00, with a standard deviation of $26,044.00. Find the 90% confidence interval for the difference in the average salaries of faculty in private and public universities.

The estimate of (miu1 - miu2) = (xbar1 - xbar2) = $ _____ (do not round).

The critical value is _____ (do not round).

The SE[xbar1 -xbar2] = $ _____ (round to the 100th place).

Using the rounded SE, the margin of error is $_____ (round to the 100th place).

I am 95% confident that the difference in the average faculty salaries in private and public universities lies between $_____ and $_____ .

The confidence interval is entirely positive, which implies that miu1 is substantially greater than miu2.

Therefore, one can be 95% confident that the average faculty salaries in private universities are substantially higher than the average faculty salaries in public universities