SOLUTION: A survey indicates that the mean annual wages for forensic science technicians working for local and state governments are $155,950 and $131,100, respectively. The survey include
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Question 1177876: A survey indicates that the mean annual wages for forensic science technicians working for local and state governments are $155,950 and $131,100, respectively. The survey includes a randomly selected sample of size 342 from each government branch. Assume that the population standard deviations are $11200 (local) and $9575 (state). The two samples are independent. At α=0.10, is there enough evidence to conclude that there is a difference in the mean annual wages? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! this is a 2-sample z-test where z=(difference in means)/sqrt (sigma 1^2/n1+sigma2^2/n2)
=$24850/sqrt (11200^2/342+9575^2/342)
=$24850/796.77
=31.2
critical value is |z|>1.645
reject Ho that the means are equal and conclude there is a difference-highly significant with p-value=0.
