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 43 bears has a mean weight of 189.9 lb with standard deviation 8.4 lb. 05, can it be concluded that the average weight of a bear in Yellowstone National Park is different from 187 At lb? (a) Find the value of the test statistic for the above hypothesis. (b) Find the critical value Find the p-value. (d) What is the correct way to drawa regarding the above hypothesis test? Problem #4(a): 12.26 Problem #4(b): 12.42 Problem #4(c): 10.1180 test statistic (correct to 2 decimals) critical value (correct to 2 decimals) p-value (correct to 4 decimals)

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)/(8.4/sqrt(43)) = 1.6394

b.
Critical value = 2.0180 (=T.INV(0.025,42))

c.
p-value = 0.1011

d.
Failed to reject the null hypothesis

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