) The mean annual tuition and fees for a sample of 11 private colleges was $26,500 with a standard deviation of $6,000. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $31,000. i). State the null and alternate hypotheses. ii). Compute the value of the test statistic and state the number of degrees of freedom. iii). State a conclusion regarding H0 . Use the = 0.05 level of significance.