Question: In their book Statistical Thinking (2nd ed.), Roger Hoerl and Ron Snee provide data on the absorbency of paper towels that were produced by two
In their book Statistical Thinking (2nd ed.), Roger Hoerl and Ron Snee provide data on the absorbency of paper towels that were produced by two different manufacturing processes. From process 1, the sample size was 10 and had a mean and standard deviation of 190 and 15, respectively. From process 2, the sample size was 4 with a mean and standard deviation of 310 and 50, respectively. Is there evidence to support a claim that the mean absorbency of the towels from process 2 have higher mean absorbency than the towels from process 1? Assume that the standard deviations are known. What level of type I error would you consider appropriate for this problem?
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