A recent study in a small city stated that the average age ofrobbery victims was

Question

A recent study in a small city stated that the average age ofrobbery victims was 63.5 years. A sample of 20 recent victimshad a mean age of 63.7 years and standard deviation of 1.9 years. At alpha=0.05, is the average higher than originallybelieved, use a) the Traditional Method b) The P-value method totest the claim.
Please be very precise in your answers mentioning which tablesyou used, which value is a critical value, test value, etc.
Please be very precise in your answers mentioning which tablesyou used, which value is a critical value, test value, etc.

Explanation / Answer

Given n=20, xbar=63.7, s=1.9 The test hypothesis is Ho:63.5 The test statistic is t=(xbar-)/(s/n) =(63.7-63.5)/(1.9/sqrt(20)) = 0.47 Since =0.05, critical value is t(0.05, df=n-1=19) =1.7291(check student t table). a) the Traditional Method Since t=0.470.47) = 0.6781 > =0.05, we do notreject Ho.

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