Question

The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9 lb. Bear weights are normally distributed with standard deviation σ = 121.8 lb.

(a) Find a 95% confidence interval estimate of the population mean bear weight.

(b) Which of the statements below gives the correct interpretation of the confidence interval constructed in part (a)? (choose a number, do not rewrite the statement) (1.) We can be 95% certain that average weight of 54 Yellowstone National Park bears will lie in the interval obtained in part (a). (2.) We can be 95% certain that average weight of all Yellowstone National Park bears will lie in the interval obtained in part (a). (3.) We can be 95% certain that weight of any Yellowstone National Park bear will lie in the interval obtained in part (a).

(c) Suppose we wish to construct a 98% CI for the population mean weight and we would like to maintain the margin of error from part(a). Determine the required sample size.

Answer 1

Cren Cshtaj value at 99% con biden, e :( Z4): 1.96 (usirg z- table » Vn 6.575-96 /2 82.9 182.9 32 48 S0 43, 215-387 Ans: 2

Hero lung 2-tasle) 7- 3110 )

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