A bank officer wants to determine the amount of the average total monthly deposits per customer at the bank. He believes an estimate of this average amount using a confidence interval is sufficient. He assumes the standard deviation of total monthly deposits for all customers is about $5.18. How large a sample should he take to be within $1 of the actual average with 95% confidence? A Telecommunications company recently installed a new speech recognition system for its repair calls. In their old system, operators had to press keys on the numeric keypad to answer questions, which led to longer time on service calls. The company is conducting a study to determine the effectiveness of the new system reducing the average duration of service calls that was 31.4 minutes prior to the installation of the new system. They analyzed a random sample of 25 service calls and obtained an average duration of service calls of 28.2 minutes. Based on historical data, the standard deviation of duration of service calls is known to be =7.2 minutes. What is the P value of the the hypothesis test to determine if the system has been effective reducing the average duration of service calls ? (Use 4 DECIMALS)