
Hypothesis testing
Hi, I've never done this before so I could use some help. Do I use a ttest here???
Here is the problem:
An insurance company is reviewing its current policy rates. When originally setting the rates they believed that the average claim amount was $1,800. They are concerned that the true mean is actually higher than this because they could potentially lose a lot of money. They randomly select 40 claims and calculate a sample mean of $1,950. Assuming that the std dev of claims is $500, and set α=: .05, test to see if the insurance co. should be concerned.
I have H0: μ ≤ 1800 , H1: μ > 1800
for the ttest I have t = (http://upload.wikimedia.org/math/4/1...413dd92c0d.png μ ) / (s/√n)) = (1950  1800) / (500/(√40)) = 1.90
Am I on the right track?? If so what now??