A Telecommunications company recently installed a new speechrecognition system for its repair calls. In their old system,operators had to press keys on the numeric keypad to answerquestions, which led to longer time on service calls. on servicecalls. The company is conducting a study to examine the impact ofthe new system on the average duration of service calls. Averageduration of service calls was 31.4 minutes prior to theinstallation of the new system. They analyzed a random sample of 20service calls and obtained an average duration of service calls of29.4 minutes. Based on historical data, the standard deviation ofduration of service calls is known to be ? =6.2 minutes.
What is the P value of the the hypothesis test to determine ifthe system has been effective reducing the average duration ofservice calls ? (Use 4 DECIMALS)