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A small shirt producer, is concerned that the mean weight of their classic shirt is not greater than 3.0 pounds. It can be assumed that the population standard deviation is .9 pounds based on past experience. A sample of 310 hats is selected and the sample mean is 3.15 pounds. Using a level of significance of .05, is there evidence that the population mean weight of the shirts is greater than 3.0 pounds? Fully explain your answer.

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