The coating thickness of plastic film in millimeters (mm) on a substrate material is tested using two difference temperatures which are 125°F and 150°F. The substrate material with temperature of 125°F is normally distributed with a mean coating thickness of 103.5mm and a standard deviation of 10.2mm. While the substrate material with temperature of 150°F also are normally distributed with a mean coating thickness of 99.7mm and a standard deviation of 16.1mm. Random samples of 11 substrates are coated at 125°F and 13 substrates are coated at 150°F. a) Construct the sampling distribution of the difference in means of coating thickness between two temperatures. b) Find the probability that the mean coating thickness for temperature of 125°F exceed 110mm.

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