Question: 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 25.9 6.3 11.8 15.4 20.3 16.8 19.5 12.3 17.2

(a) Stating all the necessary assumptions find a 99% confidence interval for the population mean.

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