Problem #3: The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 37 bears has a mean weight of 188.2 lb. At \alpha = .05, 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 8.1 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? Problem #3(a): test statistic (correct to 2 decimals) Problem #3(b): critical value (correct to 2 decimals) Problem #3(c): p-value (correct to 4 decimals) (A) If the answer in (a) is greater than the answer in (c) then we conclude at the 5% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb. (B) If the answer in (a) is greater than the answer in (b) then we conclude at the 5% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb. (C) If the answer in (b) is greater than the answer in (c) then we conclude at the 5% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb. (D) If the answer in (a) is greater than the answer in (c) then we cannot conclude at the 5% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb. (E) If the answer in (b) is greater than the answer in (c) then we cannot conclude at the 5% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb. (F) If the answer in (a) is greater than the answer in (b) then we cannot conclude at the 5% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb. (G) If the answer in (c) is less than 0.05 then we cannot conclude at the 5% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb. (H) If the answer in (c) is greater than 0.05 then we conclude at the 5% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb.