The accounting at geico notices that the average claim might be larger than $1800, which was previously set as a true average claim amount. if the actual average is higher, the company wil be loosing money in the long run. they ran- domly select 45 claims, and calculate a sample mean of $1,920. suppose that the variance of claims is known to be equal to $1600. (a) set the significance level to α = 0.05 and use the hypothesis testing to check if the average claim is larger than $1800. (b) find the probability of type i error. (c) find the p-value corresponding to the given sample.