STATISTICS F/BUSINESS+ECONOMICS-TEXT
13th Edition
ISBN: 9781305881884
Author: Anderson
Publisher: CENGAGE L
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Question
Chapter 5, Problem 1CP
1.
To determine
Compute the probability that a weekly sample will result in a shutdown of production if the production process is working properly and to comment on GGG management’s policy for deciding when to shut down production of Go Bananas.
b.
To determine
Suggest an appropriate number of boxes in the weekly sample that must fail to meet the standard weight of banana flavored marshmallows in order to shut down the production if the goal is to be achieved.
c.
To determine
Find the level to which Ms. Finkel have to reduce the percentage of 16-ounce boxes of Go Bananas that fail to meet the standard weight of banana flavored marshmallows when the process is working properly in order to reduce the probability that at least five of the sampled boxes fail to meet the standard of 0.01 or less.
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Go Bananas!
Great Grasslands Grains, Inc.(GGG) manufactures and sells a wide variety of breakfast cereals.GGG's product development lab recently created a new cereal that consists of rice flakes and banana-flavored marshmallows. The company's marketing research department has tested the new cereal extensively and has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least 1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.
As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has named Go Bananas!, management is concerned about the amount of banana-flavored marshmallows. It wants to be careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavored marshmallows in each 16-ounce box of Go Bananas!Tina Finkel,VP of Production for GGG, has suggested that the company measure the weight of banana-flavored marshmallows in a random sample of 25 boxes of Go Bananas! on a…
An aircraft emergency locator transmitter (ELT) is a device designed to
transmit a signal in the case of a crash. The Altigauge Manufacturing
Company makes 80% of the ELTS, the Bryant Company makes 15% of
them, and the Chartair Company makes the other 5%. The ELTS made
by Altigauge have a 4% rate of defects, the Bryant ELTS have a 6% rate
of defects, and the Chartair ELTS have a 9% rate of defects (which helps
to explain why Chartair has the lowest market share).
i)
If an ELT is randomly selected from the general population
of all ELTS, find the probability that it was made by the
Altigauge Manufacturing Company.
If a randomly selected ELT is then tested and is found to be
ii)
defective, find the probability that it was made by the
Altigauge Manufacturing Company.
An aircraft emergency locator transmitter (ELT) is a device designed to transmit a
signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of
the ELTS, the Bryant Company makes 15% of them, and the Chartair Company makes
the other 5%. The ELTS made by Altigauge have a 4% rate of defects, the Bryant ELTS
have a 6% rate of defects, and the Chartair ELTS have a 9% rate of defects (which
helps to explain why Chartair has the lowest market share).
a. If an ELT is randomly selected from the general population of all ELTS, find the
probability that it was made by the Altigauge Manufacturing Company.
b. If a randomly selected ELT is then tested and is found to be defective, find the
probability that it was made by the Altigauge Manufacturing Company.
c. What is the probablity that a randomly selected ELT is defective?
Chapter 5 Solutions
STATISTICS F/BUSINESS+ECONOMICS-TEXT
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