Question
In: Statistics and Probability
A soft-drink bottling company maintains records of the number of unacceptable bottles obtained from its two...
A soft-drink bottling company maintains records of the number of unacceptable bottles obtained from its two filling and capping machines. A trial inspection of a production run of 1000 bottles showed that 430 came from Machine I and 570 from Machine II. Ten bottles from Machine I and 25 from Machine II were nonconforming.
(a) Use the above information to estimate the probabilities in the contingency table:
|
Conforming |
Nonconforming |
TOTAL |
|
|
Machine I |
|||
|
Machine II |
|||
|
TOTAL |
(b) What proportion of the total output is nonconforming?
(c) If a randomly-chosen bottle is found to be nonconforming, what is the probability that it was produced on Machine II?
(d) Which machine seems to be better? Calculate relevant probabilities and discuss.
Solutions
Expert Solution
This question is based on the conditional probability theorem.
orchestra answered 2 years agoRelated Solutions
The NEPA Bottling Company, which provides glass bottles to soft drink manufacturers, provided the information regarding...
The NEPA Bottling Company, which provides glass bottles
to soft drink manufacturers, provided the information regarding the
number of cases per shipment, size of cartons, and the
corresponding transportation cost:
Number of Cases/Shipment
(hundreds)
15
22
35
43
58
65
73
82
85
98
Size of Carton
(cubic inches)
12
16
20
24
28
32
36
40
44
48
Transportation Costs
(dollars)
200
260
310
360
420
480
540
630
710
730
The marketing manager is interested in studying the...
A soft drink bottling company just ran a long line of 12-ounce soft drink cans filled...
A soft drink bottling company just ran a long line of 12-ounce
soft drink cans filled with cola. A sample of 32 cans is selected
by inspectors looking for non-conforming items. Among the things
the inspectors look for are paint defects on the can, improper
seal, incorrect volume, leaking contents, incorrect mixture of
carbonation and syrup in the soft drink, and out-of-spec syrup
mixture. The results of this inspection are given here. Construct a
c chart from the data.
Can...
As a special promotion for its 20-ounce bottles of soda, a soft drink company printed a...
As a special promotion for its 20-ounce bottles of soda, a soft
drink company printed a message on the inside of each cap. Some of
the caps said, “Please try again,” while others said, “You’re a
winner!” The company advertised the promotion with the slogan “1 in
6 wins a prize.” Suppose the company is telling the truth and that
every 20-ounce bottle of soda it fills has a 1-in-6 chance of being
a winner. Seven friends each buy one...
Paramel Beverages bottles two soft drinks under licence to Cadaver Ltd. at its Newcastle plant. Bottling...
Paramel Beverages bottles two soft drinks under licence to
Cadaver Ltd. at its Newcastle plant. Bottling at this plant is
highly repetitive, automated process. Empty bottles are removed
from their carton, placed on a conveyor, and cleaned, rinsed,
dried, filled, capped and heated (to reduce condensation). The only
stock held is direct materials or else finished goods. There is no
work in process. The two soft drinks bottled by Paramel Beverages
are lemonade and diet lemonade. The syrup for both...
A soft drink company printed messages inside its? 20-ounce bottles as part of a promotion. Some...
A soft drink company printed messages inside its? 20-ounce
bottles as part of a promotion. Some of the caps said? “Please try?
again!” while others? said, “”You’re a? winner!” The company claims
that 1 in 6 bottles have winning caps. Seven friends each buy a
bottle at a grocery store. The clerk is surprised when three of
them win a prize. Is this group of friends just lucky or is the?
company’s claim? inaccurate? Use simulation to estimate the
probability...
Culver company bottles and distributes be light a diet soft drink the beverage is sold for...
Culver company bottles and distributes be light a diet
soft drink the beverage is sold for $0.50 per 16 oz bottle to the
retailers who charge customers $0.75 per bottle for the year 2017
management estimates the following revenues and cost sales
$1,840,000 direct materials $440,000 direct labor $320,000
manufacturing overhead variable $350,000 manufacturing overhead
fixed $498,000 selling expenses variable $50,000 selling expenses
fixed $50,000 administrative expenses variable $36,000 and
administrative expenses fixed $54,000 prepare a CVP income
statement for...
Management of a soft-drink bottling company has the business objective of developing a method for allocating...
Management of a soft-drink bottling company has the business
objective of developing a method for allocating delivery costs to
customers. Although one cost clearly relates to travel
time within a particular route, another variable cost reflects the
times required to unload the cases of soft drink at the delivery
point. To begin, management decided to develop a
regression model to predict delivery time based on the number of
cases delivered. A sample of 20 deliveries within a
territory was selected. The delivery times and...
Management of a soft-drink bottling company wants to develop a method for allocating delivery costs to...
Management of a soft-drink bottling company wants to
develop a method for allocating delivery costs to customers.
Although one cost clearly relates to travel time within a
particular route, another cost variable reflects the time required
to unload the cases of soft drink at the delivery point. A sample
of 20 deliveries within a territory was selected. The delivery
times (in minutes) and the number of cases delivered were recorded
in the file below.
Customer
Number of cases
Delivery Time...
Management of a soft-drink bottling company wants to develop a method for allocating delivery costs to...
Management of a soft-drink bottling company wants to develop a
method for allocating delivery costs to customers. Although one
cost clearly relates to travel times within a particular route,
another variable cost reflects the time required to unload the
cases of soft drink at the delivery point. A sample of 20
deliveries within a territory was selected. The delivery time and
the number of cases delivered were recorded. Develop a regression
model to predict delivery time based on the number...
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of
2.0
liters
and a standard deviation of
0.05
liter. Suppose you select a random sample of
25
bottles.
a. What is the probability that the sample mean will be
between
1.99
and
2.0
liters?
b. What is the probability that the sample mean will be
below
1.98
liters?
c. What is the probability that the sample mean will be greater
than
2.01
liters?
d....
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Can you explain to me the differnces in how we paid for the health care (access...
- Discuss proactive and defensive marketing in context to the company position in the hypothetical market structure...
- Write a java code that could be used to show the simulation of a tornado. use...
- A Canadian company issues an 8-year term bond with face value of $1,000 and 6% coupon...
- 1. Consider the following nuclides: &
- In general, teams can be described three ways. Name and define each.
- JAVASCRIPT: Please create an array of student names and another array of student grades. - Create...
ADVERTISEMENT