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 600 and 500 planks, respectively, were examined under the old and new methods. Sixty-two of the 600 planks were scrapped under the old method, whereas 34 of the 500 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.) Confidence interval is % to %.

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 600 and 500 planks, respectively, were examined under the old and new methods. Sixty-two of the 600 planks were scrapped under the old method, whereas 34 of the 500 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.) Confidence interval is % to %.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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 600 and 500 planks, respectively, were examined under the old and new methods.
Sixty-two of the 600 planks were scrapped under the old method, whereas 34 of the 500 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.)
Confidence interval is
I to
%.
論

b. Select the null and alternative hypotheses to test for differences in the population scrap rates between the old and new cutting
methods, respectively.
O Ho: P1 - P2
0; HA P1
- P2 # 0
O Ho: P1 - P2 0; HA: P1 - P2 > 0
O Ho: P1 - P2 0; HA: P1 - P2
c. Using the part a results, can we conclude at the 10% significance level that the scrap rate of the new method is different than the old
method?
We
HO. At the 10% significance level, we
conclude the proportions
are different between the old and new methods.

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