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.

The treasurer for pittsburgh iron works wishes to use financial futures to hedge her interest rate exposure. she will sell five treasury futures contracts at $139,000 per contract. it is july and the contracts must be closed out in december of this year. long-term interest rates are currently 7.30 percent. if they increase to 9.50 percent, assume the value of the contracts will go down by 20 percent. also if interest rates do increase by 2.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of $149,000. this expense, of course, will be separate from the futures contracts. a. what will be the profit or loss on the futures contract if interest rates increase to 9.50 percent by december when the contract is closed out

Consider a treasury bill with a rate of return of 5% and the following risky securities: security a: e(r) = .15; variance = .0400 security b: e(r) = .10; variance = .0225 security c: e(r) = .12; variance = .1000 security d: e(r) = .13; variance = .0625 the investor must develop a complete portfolio by combining the risk-free asset with one of the securities mentioned above. the security the investor should choose as part of her complete portfolio to achieve the best cal would be a. security a b. security b c. security c d. security d

Aproperty title search firm is contemplating using online software to increase its search productivity. currently an average of 40 minutes is needed to do a title search. the researcher cost is $2 per minute. clients are charged a fee of $400. company a's software would reduce the average search time by 10 minutes, at a cost of $3.50 per search. company b's software would reduce the average search time by 12 minutes at a cost of $3.60 per search. which option would have the higher productivity in terms of revenue per dollar of input?