Please show necessary work Wildlife Mountain Lions How much

Wildlife: Mountain Lions How much do wild mountain lions weigh? The 77th Annual Report of the New Mexico Department of Game and Fish, edited by Bill Montoya, gave the following information. Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds): 68 104 128 122 60 64 (a) Use a calculator with mean an sample standard deviation keys to verify that x = 91.0 pounds and s approx 30.7 pounds. (b) Find a 75% confidence interval for the population average weight mu of all adult mountain lions in the specified region.

Solution

a)
we got the mean of sample as = 91, Standard deviation = 30.7
b)
Confidence Interval For Z- Single Mean
CI = x