The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 49 bears has a mean weight of 188.6 lb with standard deviation 8.6 lb. At a = .05, can it be concluded that the average weight of a bear in Yellowstone National Park is different from 187 lb? (a) Find the critical value. (b) Find the value of the test statistic for the above hypothesis. (c) Find the p-value. (d) What is the correct way to draw a conclusion regarding the above hypothesis test? critical value (correct to 2 decimals) test statistic (correct to 2 decimals) p-value (correct to 4 decimals) (A) If the answer in (c) is greater than 0.05 then we reject Ho and conclude at the 5% significance level that we have sufficient evidence 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 0.05 then we fail to reject Ho and conclude at the 5% significance level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb. (C) If the answer in (b) is less than the answer in (a) then we fail to reject Ho and conclude at the 5% significance level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb. (D) If the answer in (b) is greater than the answer in (c) then we fail to reject Ho and conclude at the 5% significance level that we have insufficient evidence 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 reject Ho and conclude at the 5% significance level that we have sufficient evidence 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 reject Ho and conclude at the 5% significance level that we have sufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb. (G) If the answer in (b) is less than the answer in (a) then we reject Ho and conclude at the 5% significance level that we have sufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb. (H) If the answer in (a) is greater than the answer in (c) then we fail to reject Ho and conclude at the 5% significance level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb.

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The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken
from anesthetized bears. A sample of 49 bears has a mean weight of 188.6 lb with standard deviation 8.6 lb.
At a = .05, can it be concluded that the average weight of a bear in Yellowstone National Park is different from
187 lb?
(a) Find the critical value.
(b) Find the value of the test statistic for the above hypothesis.
(c) Find the p-value.
(d) What is the correct way to draw a conclusion regarding the above hypothesis test?
critical value (correct to 2 decimals)
test statistic (correct to 2 decimals)
p-value (correct to 4 decimals)
(A) If the answer in (c) is greater than 0.05 then we reject Ho and conclude at the 5% significance
level that we have sufficient evidence 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 0.05 then we fail to reject Ho and conclude at the 5% significance
level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is
different from 187 lb.
(C) If the answer in (b) is less than the answer in (a) then we fail to reject Ho and conclude at the 5% significance
level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is
different from 187 lb.
(D) If the answer in (b) is greater than the answer in (c) then we fail to reject Ho and conclude at the 5%
significance
level that we have insufficient evidence 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 reject Ho and conclude at the 5% significance
level that we have sufficient evidence 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 reject Ho and conclude at the 5% significance
level that we have sufficient evidence that the average weight of a bear in Yellowstone National Park is
different from 187 lb.
(G) If the answer in (b) is less than the answer in (a) then we reject Ho and conclude at the 5% significance
level that we have sufficient evidence that the average weight of a bear in Yellowstone National Park is
different from 187 lb.
(H) If the answer in (a) is greater than the answer in (c) then we fail to reject Ho and conclude at the 5%
significance
level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is
different from 187 lb.
Transcribed Image Text:The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 49 bears has a mean weight of 188.6 lb with standard deviation 8.6 lb. At a = .05, can it be concluded that the average weight of a bear in Yellowstone National Park is different from 187 lb? (a) Find the critical value. (b) Find the value of the test statistic for the above hypothesis. (c) Find the p-value. (d) What is the correct way to draw a conclusion regarding the above hypothesis test? critical value (correct to 2 decimals) test statistic (correct to 2 decimals) p-value (correct to 4 decimals) (A) If the answer in (c) is greater than 0.05 then we reject Ho and conclude at the 5% significance level that we have sufficient evidence 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 0.05 then we fail to reject Ho and conclude at the 5% significance level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb. (C) If the answer in (b) is less than the answer in (a) then we fail to reject Ho and conclude at the 5% significance level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb. (D) If the answer in (b) is greater than the answer in (c) then we fail to reject Ho and conclude at the 5% significance level that we have insufficient evidence 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 reject Ho and conclude at the 5% significance level that we have sufficient evidence 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 reject Ho and conclude at the 5% significance level that we have sufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb. (G) If the answer in (b) is less than the answer in (a) then we reject Ho and conclude at the 5% significance level that we have sufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb. (H) If the answer in (a) is greater than the answer in (c) then we fail to reject Ho and conclude at the 5% significance level that we have insufficient evidence that the average weight of a bear in Yellowstone National Park is different from 187 lb.
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