The thickness of a plastic film (in mils) pn a substrate materila is thought to be influenced by the temperature at which the coating is applied. A completely randomized experiment is carrid out. 11 substrates are coated at 125oF, resulting in a smaple mean coating thichness of x̄1=103.5 and a sample standard deviation of S1=10.2. Another 13 substrates are coated at 150oF. for which x̄2=99.7 and S2= 20.1 are observed. It was originally suspected that raising the process temperature would reduce mean coating thickness.  Do the data support this claim? Use α=0.01 and assume that the two population standard deviations are not equal.  What is the critical value?

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The thickness of a plastic film (in mils) pn a substrate materila is thought to be influenced by the temperature at which the coating is applied. A completely randomized experiment is carrid out. 11 substrates are coated at 125oF, resulting in a smaple mean coating thichness of x̄1=103.5 and a sample standard deviation of S1=10.2. Another 13 substrates are coated at 150oF. for which x̄2=99.7 and S2= 20.1 are observed. It was originally suspected that raising the process temperature would reduce mean coating thickness. 

Do the data support this claim? Use α=0.01 and assume that the two population standard deviations are not equal. 

What is the critical value? 

 

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