SOLUTION: 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 appro

Question 1124718: 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 = 63.0 kg and standard deviation σ = 7.9 kg. Suppose a doe that weighs less than 54 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.)

(b) If the park has about 2850 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.)
does
(c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 55 does should be more than 60 kg. If the average weight is less than 60 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight
x
for a random sample of 55 does is less than 60 kg (assuming a healthy population)? (Round your answer to four decimal places.)

(d) Compute the probability that
x
< 64.3 kg for 55 does (assume a healthy population). (Round your answer to four decimal places.)

Suppose park rangers captured, weighed, and released 55 does in December, and the average weight was
x
= 64.3 kg. Do you think the doe population is undernourished or not? Explain.
Since the sample average is below the mean, it is quite unlikely that the doe population is undernourished.
Since the sample average is above the mean, it is quite unlikely that the doe population is undernourished.
Since the sample average is below the mean, it is quite likely that the doe population is undernourished.
Since the sample average is above the mean, it is quite likely that the doe population is undernourished.
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.

When I see so big/large/long assignments, I think that nobody will not only solve it - nobody will even read it.

    Nobody will read any single whole line of it . . .

No Math problem longer than 5 lines.

So, it is totally nonsensical enterprise to liter the forum with such posts.

Also, please keep in mind, that at this forum the goal and the purpose of the tutors is to help school students
in solving their Math problem and to teach them.

But nobody of tutors here has any intention to make your work for you and/or instead of you.

It is not that I want to hurt you - no way.

I only want to explain you to not spend your time for nothing.

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