A Woodworker Is Concerned About the Quality of the Finished

question 147

Essay

A woodworker is concerned about the quality of the finished appearance of her work. In sampling units of a split-willow hand-woven basket, she has found the following number of finish defects in ten units sampled: 4, 0, 3, 1, 2, 0, 1, 2, 0, 2.
a. Calculate the average number of defects per basket
b. If 3-sigma control limits are used, calculate the lower control limit, centerline, and upper control limit.

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Definitions:

Inference Forms

Patterns or templates of reasoning that show the logical connection between premises and conclusion.

MP

An abbreviation that could refer to Modus Ponens, a logical form where from premises of the form "If P, then Q" and "P", it's concluded that "Q".

MT

Another term for Modus Tollens, it is the form of logical argument implying the inverse of a conclusion based on the negation of its consequence.

HS

An abbreviation often referring to Hypothetical Syllogism, a logical argument form using two conditional statements to deduce a conclusion.