9.3. OVERVIEW OF STATISTICAL METHODS
9.3.1. Enumerative versus analytic statistical methods
How would you respond to the following question?
A sample of 100 bottles taken from a filling process has an average of 11.95 ounces and a standard deviation of 0.1 ounce. The specifications are 11.9—12.1 ounces. Based on these results, should you
Do nothing?
Adjust the average to precisely 12 ounces?
Compute a confidence interval about the mean and adjust the process if the nominal fill level is not within the confidence interval?
None of the above?
The correct answer is d, none of the above. The other choices all make the mistake of applying enumerative statistical concepts to an analytic statistical situation. In short, the questions themselves are wrong! ...
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