The weights from a random sample of 20 golden retriever dogs have mean 76.1 pounds and standard deviation 5.9 pounds. Assume that the weights of the dogs have a normal distribution.
(a) Construct a 98% confidence interval for the population mean.
(b) What is the length of this confidence interval? What is its center?
(c) If a 98% confidence interval were calculated from another random sample of size n = 20, would it have the same length as that found in part (b)? Why or why not?