A large hat manufacturer, MICHAELLA HATS, is concerned that the mean weight of their ...

     A large   hat manufacturer, MICHAELLA HATS, is concerned that the mean weight of their   signature Kentucky Derby hat is not greater than 3.5 pounds. It can be   assumed that the population standard deviation is .6 pounds based on past   experience. A sample of 250 hats is selected and the sample mean is 3.25   pounds. Using a level of significance of .05, is there evidence that the   population mean weight of the hats is greater than 3.5 pounds? Fully explain   your answer.