ty A researcher wants to check the claim that convicted burglars spend an averag

Question

ty A researcher wants to check the claim that convicted burglars spend an average of 18.7 months in jait. She takes a random sampie court ries and finds that 16.7 months Assume that the population standard deviation is 7 significance level O A. Do not reject the nuli O B Do not reject the nu hypothesis and conclude that the claim that the mean is di erent from 187 months cannot be suppo ed months. Test the null hypotess that ·18.7 at the o s hypothests and conckude that the claim that the mean is ditterent trom 18.7 montis ts supported C. Reject the nuli hypothesis and conclude that the claim that the mean is diteren"om 18 months is supported. O D Reject the nultl hypothesis and conclude that the ciam that the mean s difterent trom 18,7 monhs cannot be supported

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 18.7
HA : 18.7
Standard deviation = 7

Hypothesis test results:

Since p - value is greater than 0.05, we do not reject Ho.

Hence,

Option B is correct.

Mean n Sample Mean Std. Err. Z-Stat P-value 35 16.7 1.183216 -1.6903085 0.091

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