1. Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of...

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1. Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is the study of the number of moose killed by wolves. In the period from 1958 to 1974, there were 296 moose deaths identified as wolf kills. The age distribution of the kills is as follows.

Age of Moose in Years	Number Killed by Wolves
Calf (0.5 yr) 1-5 6-10 11-15 16-20	106 50 70 67 3

(a) For each age group, compute the probability that a moose in that age group is killed by a wolf. (Use 3 decimal places.)

0.5

part (a) because of the sample size. Therefore, the distribution about μ_x is .

22. Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 67.0 kg and standard deviationσ = 7.5 kg. Suppose a doe that weighs less than 58 kg is considered undernourished.

(a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.)
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(b) If the park has about 2750 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.)
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(c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 45 does should be more than 64 kg. If the average weight is less than 64 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight

for a random sample of 45 does is less than 64 kg (assuming a healthy population)? (Round your answer to four decimal places.)
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(d) Compute the probability that

< 69 kg for 45 does (assume a healthy population). (Round your answer to four decimal places.)
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Suppose park rangers captured, weighed, and released 45 does in December, and the average weight was

= 69 kg. Do you think the doe population is undernourished or not? Explain.

[removed]Since the sample average is above the mean, it is quite likely that the doe population is undernourished.[removed]Since the sample average is below the mean, it is quite unlikely that the doe population is undernourished. [removed]Since the sample average is below the mean, it is quite likely that the doe population is undernourished.[removed]Since the sample average is above the mean, it is quite unlikely that the doe population is undernourished.