A clinic offers a weight reduction program. A review of its records found the following weight losses, in pounds, for a random sample of ten of its patients at the conclusion of the program. 18.2 20.3 25.9 6.3 11.8 15.4 16.8 19.5 12.3 17.2 Assume the population distribution is normal.

(a) Find a 99% confidence interval for the population mean.

(b) Without doing the calculations, state whether a 90% confidence interval for the popu- lation mean would be wider than, narrower than, or the same as that found in (a).