Question

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 lbs and a standard deviation of 121.8 lb. Use a 0.10 level of significance to test the claim that the population mean of all such bear weights is less than 200 lb. Also, give the p-value.

Answer 1

Hypotheses:

Ho: = 200

Ha: < 200

Test statistic

t = -1.03

This is a left tailed test with degrees of freedom = n - 1 = 54 - 1 = 53

Hence,

p - Value = P(t₅₃ < -1.03) = 0.1535

Since p - value is greater than 0.10, we fail to reject Ho. Hence,

There is not sufficient evidence to conclude that the population mean of all such bear weights is less than 200 lb.