Question
In: Statistics and Probability
The manufacturing process at a factory produces ball bearings that are sold to automotive manufacturers. The...
The manufacturing process at a factory produces ball bearings that are sold to automotive manufacturers. The factory wants to estimate the average diameter of a particular type of ball bearing that is in demand to ensure that it is manufactured within the specifications. Suppose they plan to collect a sample of 10 ball bearings and measure their diameters to construct a 95% confidence interval for the average diameter of ball bearings produced from this manufacturing process.
In your initial post, choose any diameter values for 10 ball bearings. Make sure to not repeat a value, and to choose values between 2.25 cm and 2.75 cm. Then, using the 10 values that you have chosen, construct a 95% confidence interval for the average diameter of ball bearings produced from this manufacturing process.
Solutions
orchestra answered 1 year agoRelated Solutions
precision manufacturing: a process manufactures ball bearings with diameters that are normally distributed with mean 25.0...
precision manufacturing: a process manufactures ball bearings
with diameters that are normally distributed with mean 25.0
millimeters and standard deviation 0.07 millimeter.
(a) find the 60th percentile of the diameters.
(b) find the 67th percentile of the diameters.
(c) a hole is to be designed so that 2% of the ball bearings
will fit through it. the bearings that fit through the hole will be
melted down and remade. what should the diameter of the hole
be?
(d)between what 2...
Part variability is critical in the manufacturing of ball bearings. Large variances in the size of...
Part variability is critical in the manufacturing of ball
bearings. Large variances in the size of the ball bearings cause
bearing failure and rapid wearout. Production standards call for a
maximum variance of .0001 when the bearing sizes are measured in
inches. A sample of 15 bearings shows a sample standard deviation
of .014 inches.
Use a = .10 to determine whether the sample indicates
that the maximum acceptable variance is being exceeded.
Compute the 90% confidence interval estimate of...
Manufacturing Ball bearings are manufactured with a mean diameter of 6 millimeter (mm).
Manufacturing Ball bearings are manufactured with a mean diameter of 6 millimeter (mm). Because of variability in the manufacturing process, the diameters of the ball bearings are approximately normally distributed with a standard deviation of 0.03 mm.
a) What proportion of ball bearings has a diameter more than 6.04 mm ?
b) Any ball bearings that have a diameter less than 5.95 mm or greater than 6.05 mm are discarded. What proportion of ball bearings will be discarded ?
c) ...
A manufacturer produces ball bearings, normally distributed, with unknown mean and standard deviation. A sample of...
A manufacturer produces ball bearings, normally
distributed, with unknown mean and standard deviation. A sample of
25 has a mean of 2.5cm. The 99% confidence interval has length 4cm
(double-sided).
Which statement is correct (use t-distribution):
s2 = 23.42cm2
b) s2 =
12.82cm2
c) s=
3.58cm
d) s=
4.84cm
The 99% prediction interval measures (use
t-distribution):
a) 20.38
cm
b) 10.21 cm
c)
20.42 cm
d) 10.19 cm
From a box containing oatmeal...
You are the manager of a local factory that produces plastic bottles for soft drink manufacturers....
You are the manager of a local factory that produces plastic
bottles for soft drink manufacturers. Your assistant presents the
following data to you that he’s researched:
Estimated life of assembly line: 4 years Initial investment
cost: $800,000
Estimated salvage value: none
Estimated Cash Flow Analysis
Year Expected Cash Flow
1 $350,000
2 240,000
3 220,000
4 105,000
$915,000
a) Your assistant thinks you should buy the new
assembly line based on the information he has gathered. You are not...
You are the manager of a local factory that produces plastic bottles for soft drink manufacturers....
You are the manager of a local factory that produces plastic
bottles for soft drink manufacturers. Your assistant comes to you
with exciting news about a new assembly line for the company. He
presents the following data to you that he’s researched: Estimated
life of assembly line: 4 years Initial investment cost: $800,000
Estimated salvage value: none Estimated Cash Flow Analysis Year
Expected Cash Flow 1 $450,000 2 240,000 3 150,000 4 60,000 a) If
the current interest rate is...
You are the manager of a local factory that produces plastic bottles for soft drink manufacturers....
You are the manager of a local factory that produces plastic
bottles for soft drink manufacturers. Your colleague brings an
assembly line project to a meeting with the following
data:
Estimated life of assembly
line:
5 years
Initial investment
cost:
$740,000
Estimated salvage
value:
none
Current interest
rates:
15 percent
Estimated Cash Flow Analysis
Year
Expected Cash Flow
1
$360,000
2
240,000
3
100,000
4
25,000
5 ...
In the manufacturing process of automotive windshield glass, it is known that the average number of...
In the manufacturing process of automotive windshield
glass, it is known that the average number of air bubbles found in
a 1 [cm3] is 0.12. To detect the presence of bubbles in the
crystal, samples of 10 [cm3] are analyzed. Assuming that the number
of bubbles per cm3 follows a Poisson distribution and that this
number is independent of one cm3 to another, it is
requested
a) Calculate the probability that a 10 cm3 sample does
not contain air bubbles...
In the manufacturing process of automotive windshield glass, it is known that the average number of...
In the manufacturing process of automotive windshield
glass, it is known that the average number of air bubbles found in
a 1 [cm3] is 0.12. To detect the presence of bubbles in the
crystal, samples of 10 [cm3] are analyzed. Assuming that the number
of bubbles per cm3 follows a Poisson distribution and that this
number is independent of one cm3 to another, it is
requested
a) Calculate the probability that a 10 cm3 sample does
not contain air bubbles...
You are in charge of a manufacturing facility that produces an automotive part (steel shaft for...
You are in charge of a manufacturing facility that produces an
automotive part (steel shaft for the gearbox) with an acceptable
dimension of 2.5±0.05 inches in diameter. Note that, the most
desirable product is one with diameter of exactly 2.5 inches. Two
vendors are trying to sell you their machines for the
shaft-machining task. You have to select a vendor.You asked both
vendors to supply data on the machining accuracy of their machines
for the given task. Both vendors machined...
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