On December $1,2013,$ Jeff Bezos $($Founder and CEO of Amazon.com$)$ announced on CBS$$s $60$ minutes$$ that his company plans to develop a $$delivery drone$$ that would cut delivery time for products purchased on Amazon.com to an average of $30$ minutes or less. Assume that a random sample of $50$ deliveries made by a prototype of the drone had an average delivery time of $32\mathrm{.}1$ minutes with a standard deviation of $5\mathrm{.}4$ minutes.