With reference to the previous exercise, assume that production has a normal distribution and obtain a \(99 \%\) confidence interval for the true mean production of the pilot process.

Data From Previous Exercise

 

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7.12 An effective way to tap rubber is to cut a panel in the rubber tree's bark in vertical spirals. In a pilot process, an engineer measures the output of latex from such cuts. Eight cuts on different trees produced latex (in liters) in a week 26.8 32.5 29.7 24.6 31.5 39.8 26.5 19.9 What can the engineer assert with 99% confidence about the maximum error if she uses the sample mean to estimate true mean yield?