In: Statistics and Probability
An insurance company is reviewing its current policy rates. When originally setting the rates they believed that the average claim amount was $1800. 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 $1950 and the sample standard deviation of claims is $500, test to see if the insurance company should be concerned. Use an α level of 0.01.[7 points]