Reducing scrap of 4-foot planks of hardwood is an important
factor in reducing cost at a wood-flooring manufacturing company.
Accordingly, engineers at Lumberworks are investigating a potential
new cutting method involving lateral sawing that may reduce the
scrap rate. To examine its viability, samples of 500 and 400
planks, respectively, were examined under the old and new methods.
Sixty-five of the 500 planks were scrapped under the old method,
whereas 35 of the 400 planks were scrapped under the new method.
(You may find it useful to reference the appropriate
table: z table or t
table)
a. Construct the 90% confidence interval for the
difference between the population scrap rates between the old and
new methods, respectively. (Negative values should be
indicated by a minus sign. Round intermediate calculations to at
least 4 decimal places and final answers to 2 decimal
places.)
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