16.10 Refer to Exercise 16.5 about female height and preferred classroom seating location. The following output from Minitab gives confidence intervals for all pairwise comparisons of seating locations. A Tukey procedure with 95% family confidence level was used.

Tukey 95% Simultaneous Confidence Intervals All Pairwise Comparisons among Levels of Seat Seat 5 Front subtracted from:

Seat Lower Center Upper Middle 20.261 0.940 2.142 Back 1.018 2.690 4.362 Seat 5 Middle subtracted from:

Seat Lower Center Upper Back 0.270 1.750 3.230

a. What confidence interval is given for the difference between the population mean heights of female students who prefer to sit in the back versus those who prefer to sit in the front? Explain whether the interval gives evidence that the population means differ for these two locations.

b. What confidence interval is given for the difference between the population mean heights of female students who prefer to sit in the back versus those who prefer to sit in the middle? Explain whether the interval gives evidence that the population means differ for these two locations.

c. What confidence interval is given for the difference between the population mean heights of female students who prefer to sit in the front versus those who prefer to sit in the middle? Explain whether the interval gives evidence that the population means differ for these two locations.