10. Fire department response time is the length of time it takes a fire truck to arrive at the scene of a fire starting from the time the call was given to the truck. Response time for the Castle
Wood Fire Department follows a normal distribution. The response time has mean y = 9.8
minutes with standard deviation o = 2.1 minutes. If a random sample of 35 response times
is taken and the mean response time is computed, find the probability that the wait time is
more than 9 minutes.
a.
Is the sample size large enough to use the Central Limit Theorem? If it doesn't meet
the minimum sample size, why can we still calculate the probability?