Problem #4: The health of the bear population in Yellowstone National Park is mo

Question

Problem #4: The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 39 bears has a mean weight of 189.1 lb with standard deviation 8.2 lb At = .02, can it be concluded that the average weight of a bear in Yellowstone National Park is different from 187 1b? (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? test statistic (correct to 2 decimals) critical value (correct to 2 decimals) p-value (correct to 4 decimals) Problem #4(a): Problem #4(b): Problem #4(c): (A) If the answer in (c) is less than 0.02 then we cannot conclude at the 2% 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 cannot conclude at the 2% significance level that the average weight of a bear in Yellowstone National Park is different from 187 1b (C) If the answer in (b) is greater than the answer in (c) then we conclude at the 2% significance level that the average weight of a bear in Yellowstone National Park is different from 187 1b (D) If the answer in (a) is greater than the answer in (c) then we conclude at the 2% significance level 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 cannot conclude at the 2% 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 conclude at the 2% significance level that the average weight of a bear in Yellowstone National Park is different from 1871b (G) If the answer in (c) is greater than 0.02 then we conclude at the 2% significance level that the average weight of a bear in Yellowstone National Park is different from 187 1b (H) If the answer in (b) is greater than the answer in (c) then we cannot conclude at the 2% significance level that the average weight of a bear in Yellowstone National Park is different from 187 lb Problem #4(d): Select Just Save Submit Problem #4 for Grading

Explanation / Answer

Below are the null and alternate hypothesis
H0: mu = 187
H1: mu not equals to 187

a.
Test statistics t = (189.1 - 187)/(8.2/sqrt(39)) = 1.5993

b.
Critical value = 2.4286

c.
p-value = 0.1180

d.
Failed to reject the null hypothesis

F is the correct condition

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