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

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The health of the bear population in Yellowstone National Parkis monitored by periodic measurements taken from anesthetizedbears. 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 bearin Yellowstone National Park is different from 187 lb? Note thatthe standard deviation of the weight of a bear is known to be 8.2lb.
(a)Find the value of the test statistic for the abovehypothesis.
(b)Find the critical value.
(c)Find the p-value.
(d)What is the correct way to draw a conclusion regarding theabove hypothesis test?

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

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

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

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

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

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

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

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

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