Submit Quiz This Question: 5 pls This Quiz: 38 pts possible the original claim.

Question

Submit Quiz This Question: 5 pls This Quiz: 38 pts possible 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 46 bears has a mean weight of 180.5 lb. Assuning that o is known to be 123.4 lb, use a 001 significance level to test the claim that the population mean of all such bear weights is greater than 155 lb What are the null and alternative hypotheses? OA, Ho' ? > 155 b H, H 155 Ib Hi ? > 155 lb Ho ?>156 lb H1 : ? 155b (Round to two decimal places as needed) Find the Pvalue P-value (Round to four decimal places as needed ) H, Theresufficient evidence to suppot the claim that hese bear weights are from a popuiation with a mean bear weight greater than 15 b Click to select your answer(s)

Explanation / Answer

X?= 180.5

n= 46

sigma= 123.4

H0: u= 155

H1: u> 155........ Right tail test..............( answer is C)

alpha= 0.01

Test Statistics

Z= (X?-u)*sqrt(n)/sigma

=(180.5-155)*sqrt(46)/123.4

=1.40153

Z test =1.40

P-value=1-P(Z<1.40153)= 0.08052708

rounded p-value=0.0805

Decision making

p-value > alpha ...... fail to reject

0.0805 > 0.01

Fail to reject H0 there is not sufficient evidence to support the claim that these bear weights are from a population with mean weight greater than 155 lb.

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