The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most $3\mathrm{.}00$

minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of $32$

randomly selected calls. The mean wait time was calculated to be $3\mathrm{.}22$

minutes. Assuming the population standard deviation is $0\mathrm{.}53$

minutes, is there sufficient evidence to say that the mean wait time for customers is longer than $3\mathrm{.}00$

minutes with a $95\%$

level of confidence?

Step $3$ of $3$ : Draw a conclusion and interpret the decision.