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Test the claim below. Identify the null hypothesis, alternative hypothesis, test

ID: 3292431 • Letter: T

Question

Test the claim below. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

The health of the bear population in a national park is monitored by periodic measurements taken from anesthetized bears. A sample of

52

bears has a mean weight of

172.0

lb. Assuming that

sigma

is known to be

117.0

lb, use a

0.05

significance level to test the claim that the population mean of all such bear weights is greater than

145

lb.
A,Calculate the test statistic.
B, find the p-value.

Explanation / Answer

The statistical software output for the given problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 145
HA : > 145
Standard deviation = 117

Hypothesis test results:

Hence,

A) Test statistic = 1.66

B) p - Value = 0.048

Mean n Sample Mean Std. Err. Z-Stat P-value 52 172 16.224981 1.6641006 0.048
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