Question

The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 46 bears has a mean weight of 188.3 lb.

At α = .07, 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 8.6 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 (b) then we cannot conclude at the 7% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.   (B) If the answer in (b) is greater than the answer in (c) then we cannot conclude at the 7% 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 7% 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 greater than 0.07 then we conclude at the 7% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.   (E) If the answer in (c) is less than 0.07 then we cannot conclude at the 7% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.   (F) If the answer in (c) is less than 0.07 then we conclude at the 7% 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 7% significance
level 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 cannot conclude at the 7% significance
level that the average weight of a bear in Yellowstone National Park is different from 187 lb.  

Problem #3(d):  

Select A B C D E F G H

Answer 1