The manager of the order-distribution center for Northwoods Backpackers has a company directive to downsize hisoperation. He has decided to conduct work sampling studiesof employees in the order-processing department, the warehouse area, and the packaging area. In the warehouse area hehas 17 employees who locate items, pull them, and put themon conveyors to the packaging area. A work sampling studywas conducted over a five-day period to determine the proportion of time warehouse employees were idle, and out ofthe 50 random observations, 400 employees were idle.a. How many observations should be taken if the managerwants to be 90% confident the estimate is within 5%of the actual proportion of time a warehouse employeeis idle?b. The manager also conducted a work sampling study ofthe packaging area and discovered that the 28 employees were idle approximately 37% of the time. Howmight the manager redesign his operation to downsizeand be more efficient?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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The manager of the order-distribution center for Northwoods Backpackers has a company directive to downsize his
operation. He has decided to conduct work sampling studies
of employees in the order-processing department, the warehouse area, and the packaging area. In the warehouse area he
has 17 employees who locate items, pull them, and put them
on conveyors to the packaging area. A work sampling study
was conducted over a five-day period to determine the proportion of time warehouse employees were idle, and out of
the 50 random observations, 400 employees were idle.
a. How many observations should be taken if the manager
wants to be 90% confident the estimate is within 5%
of the actual proportion of time a warehouse employee
is idle?
b. The manager also conducted a work sampling study of
the packaging area and discovered that the 28 employees were idle approximately 37% of the time. How
might the manager redesign his operation to downsize
and be more efficient?

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