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Assume that a simple random sample has been selected from a normally distn Use e

ID: 3316815 • Letter: A

Question

Assume that a simple random sample has been selected from a normally distn Use either the traditional method or P-value method as indicated. Identi statistic, critical valuets) or P-value for range of P-values) as appropriate," original claim. st the given clai een selected froma as indicated. Identify the null and alternative hypotheses, test and state the final conclusion that addresses the value for range 6) 6) A researcher wants to test the claim that convicted burglars spend an averag months in jail. She takes a random sample of 11 e takes a random sample of 11 such cases from court files and finds th at x 3 months and s 7.7 gniticance level. Use the traditional method of testing hypotheses. /./ months. Test the claim that -18.7 months at the 0.05

Explanation / Answer

6,

Pop. Mean = 18.7

n =11

Xbar = 21.3

s = 7.7

Ho: Mu = 18.7

Ha: Mu != 18.7

Test statistic is t = (Xbar - Mu)/ (s/sqrt(n)) = (21.3-18.7)/(7.7/sqrt(11)) = 1.12 at df = n-1 = 11-1 = 10

The P-Value is .288892.

The critical region is .05 cumuative of 2 tails.

The result is not significant at p < .05.

Hence, we conclude that the mean is null hypothesis holds true and Mean = 21.3