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In: Statistics and Probability

The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken...

The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9 pounds. Assuming that ? is known to be 121.8 pounds, test the claim that the population mean of the weights of all Yellowstone bears is greater than 150 pounds.

a. What are the null and alternative hypotheses?

b. What type of test is this? (left-tailed, right-tailed, two-tailed)

c. Find the z-score (standard score) for the sample mean

d. What is the P-value?

e. State the conclusion for the 0.05 significance level.

f. State the conclusion for the 0.01 significance level.

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