a security guard is tasked with taking people's temperature before they can enter the library. by default he assumes their temperature is at 99.2 degrees or above and they should be banned. he aims a temperature gun at them 7 times and if they are significantly below 99.2 (at the 0.19 significance level) then they are allowed inside. he assumes normality and that the temperature gun has standard deviation of 0.6962 degrees. if the next person actually has a temperature of 99.1 how powerful is this security guards test?