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:

1st Quartile

The value below which 25% of the observations in a dataset fall, also known as the 25th percentile.

3rd Quartile

The 3rd quartile, also known as Q3, marks the value below which 75% of the data in a dataset falls, effectively dividing the higher quarter of data from the rest.

Range

The gap between the maximum and minimum figures within a set of data.

Salaries

Regular payments made to employees for their work or services, typically expressed on an annual basis.