The manager of the order-distribution center for North-woods 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 ware-house area, and the packaging area. In the warehouse area he has 17 employees who locate items, pull them, and put themon conveyors to the packaging area. A work sampling study was conducted over a five-day period to determine the pro-portion 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 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 of the packaging area and discovered that the 28 employ-ees were idle approximately 37% of the time. How might the manager redesign his operation to downsizeand be more efficient?

The manager of the order-distribution center for North-woods 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 ware-house area, and the packaging area. In the warehouse area he has 17 employees who locate items, pull them, and put themon conveyors to the packaging area. A work sampling study was conducted over a five-day period to determine the pro-portion 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 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 of the packaging area and discovered that the 28 employ-ees were idle approximately 37% of the time. How might 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 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?
A quality control specialist took a 20-sized random sample from a 100-sized batch and analyzed it and adopted a double-tier sampling scheme as follows: If all units in the studied sample are accurate, the batch will be accepted. If the total number of defects in the sample is more than 2, the party will be rejected. If the number of defects in the analyzed sample is 1 or 2, the goods from the first sample are removed from the lot without returning them back to the lot.A second sample with a size of 15 is chosen. If the total number of defects in the first and second samples examined is 2 or less than 2, the party will be accepted, in the other case the party will be rejected. Using the hypergeometric distribution for acceptable quality level (AQL) 0.05 according to the given double-layer sampling plan; a. Find the probability that the batch is rejected after the first sample.b. Calculate the producer risk.
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The financial manager of a national warehouse chain has found from previousexperience that 55% of clients pay by credit card, 30% pay on account, whilethe remainder pay using cash. He wishes to know if this is still the case. Arandom sample of 1000 sales receipts from the last month produced thefollowing results: Payment Method Credit Card Account Cash TotalNumber of receipts 525 295 180 1000 Using a 5% significance level, test whether the payment method pattern haschanged.
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The financial manager of a national warehouse chain has found from previousexperience that 55% of clients pay by credit card, 30% pay on account, whilethe remainder pay using cash. He wishes to know if this is still the case. Arandom sample of 1000 sales receipts from the last month produced thefollowing results: Credit Card Account Cash Total Number of Reciepts 525 295 180 1000 Using a 5% significance level, test whether the payment method pattern haschanged.
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A low-level CDC bureaucrat wants to please his boss by gathering evidence that the current government mandated shut down of society is not causing people's mental health to deteriorate, so that it can safely be continued for several years if the expert says is necessary. He pulls a random sample of 1600 citizens, Gathering data on such items as income loss, weight gain, access to toilet paper, our spent binge watching Netflix, and number of injuries caused by household fight, and compiles all this into a significantly-weighted "misery index". The mean misery index from the sample is 99.2; it seems reasonable to use a population standard deviation o=19.1. A. Does this information provide significant evidence (at the 5% level) that the Nationwide mean misery index is less than 100? Set up appropriate null and alternative hypothesis, calculate the appropriate test statistic, find the p-value, and state your conclusion.
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