Question: When its ovens are working properly, the time required to bake fruit pies at Ellardo Bakeries is normally distributed with a mean of 45 minutes and a standard deviation of 5 minutes. Yesterday, a random sample of 16 pies had an average baking time of 50 minutes.
a. If Ellardo's ovens are working correctly, how likely is it that a sample of 16 pies would have an average baking time of 50 minutes or more?
b. Would you recommend that Ellardo inspect its ovens to see if they are working properly? Justify your answer.