A certain chemical process is run 10 times at a temperature of 65°C and 10 times at a temperature of 80°C. The yield at each run was measured as a percent of a theoretical maximum. The data are presented in the following table.
a. For each temperature, estimate the mean yield and find the uncertainty in the estimate.
b. Estimate the difference between the mean yields at the two temperatures, and find the uncertainty in the estimate.
Let 
denote the average of the 10 yields at 65°C, and let 
denote the average of the 10 yields at 80°C. Let 
denote the sample standard deviation of the 10 yields at 65°C, and let 
denote the sample standard deviation
of the 10 yields at 80°C. Then = 70.14 , = 0.897156, = 90.50 , = 0.794425.
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