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.
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| (a) | Find the value of the test statistic for the abovehypothesis. |
| (b) | Find the critical 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.
