Consider a small bike shop in Bank Street Ottawa. Bicycles arrive at the shop in boxes. Before they can be sold, they must be unpacked, assembled and turned (lubricated, adjusted, etc.). Based on past experience, the shop manager makes the following assumptions about how long this may take:
a. The times for each setup phase are independent.
b. The means and standard deviations of the times (in minutes) are shown below:
Phase Mean SD
Unpacking 3.5 0.7
Assembly 21.8 2.4
Tuning 12.3 2.7
A customer decides to buy a bike like one of the display models but wants a different color. The shop has one, still in the box. The manager says that they can have it ready in half an hour. Do you think the bike will be set up and ready to go as promised?