The average age for individuals with concealed handgun licenses in the county is

Question

The average age for individuals with concealed handgun licenses in the county is mu = 42.6 years with a standard deviation of sigma = 12. The distribution is approximately normal. A researcher obtained a sample of n = 36 individuals with concealed handgun licenses. The average age for those in the sample was M = 40.7. Is this a reasonable outcome for a sample of n = 36, or is this sample mean an extreme value? (Compute the z-score for the sample mean, then determine whether the sample mean is extreme or not.) (Use/round to 2 decimal places.) Is the sample mean an extreme value? Write yes or no in the box.

Explanation / Answer

std error of mean =std deviation/(n)1/2 =12/(36)1/2 =2

therefore test stat z=(X-mean)/std error =(40.7-42.6)/2=-0.95

No it is not extrme value as it is less then 2 and greater then -2

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