How much do wild mountain lions weigh? The 77th Annual Report of the New Mexico

Question

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. Six adult wild mountain lions (18 months and older) captured and released for the first time in the San Andres Mountains gave the average weight of 91.0 pounds and a standard deviation of 30.7 pounds.

a. Based on the given data what is the point estimate for the average weight of all wild mountain lions?

b. What is the standard deviation of the point estimate x?

c. Find the critical value that will be used in constructing 75% confidence interval for the population mean?

d. Calculate 75% confidence interval for the average weight of all wild mountain lions.

e. Interpret the confidence interval found in part (d).

Explanation / Answer

a) point estimate for the average weight =91

b) standard deviation of the point estimate x =std deviation/(n)1/2 =30.7/(6)1/2 =12.533

c) for 75% CI and (n-1=5) degree of freedom critical value t =1.3009

d) hence 75% confidence interval for the average weight =sample mean -/+ t*Std error

=74.6949 to 107.3051

e) above interval gives 75% confidence to contain true population mean weight of all wild mountain lions

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.