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The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken...

The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 38 bears has a mean weight of 188.2 lb.

At α = .01, can it be concluded that the average weight of a bear in Yellowstone National Park is different from 187 lb? Note that the standard deviation of the weight of a bear is known to be 8.2 lb.
(a) Find the value of the test statistic for the above hypothesis.
(b) Find the critical value.
(c) Find the p-value.
(d) What is the correct way to draw a conclusion regarding the above hypothesis test?

(A) If the answer in (c) is greater than 0.01 then we conclude at the 1% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.

(B) If the answer in (c) is less than 0.01 then we cannot conclude at the 1% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.

(C) If the answer in (a) is greater than the answer in (b) then we cannot conclude at the 1% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.

(D) If the answer in (c) is less than 0.01 then we conclude at the 1% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.

(E) If the answer in (a) is greater than the answer in (c) then we cannot conclude at the 1% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.

(F) If the answer in (b) is greater than the answer in (c) then we cannot conclude at the 1% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.

(G) If the answer in (a) is greater than the answer in (c) then we conclude at the 1% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.

(H) If the answer in (b) is greater than the answer in (c) then we conclude at the 1% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.

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milcah answered 1 year ago
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