Question
In: Statistics and Probability
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 the variance of the ball bearings in the population.
Solutions
orchestra answered 2 years agoRelated Solutions
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) ...
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,...
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...
An ACME Bearings manager wants to compare the average ball bearing size from two different machines....
An ACME Bearings manager wants to compare the average ball
bearing size from two different machines. She suspects the mean
diameter for bearing from machine 2 exceeds that of bearings from
machine 1. She takes two independent, random samples of size 50,
one from each machine. The mean and standard deviation of bearings
taken from machine 1 are 3.302 mm and 0.051 mm. The mean and
standard deviation of bearings taken from machine 2 are 3.355 mm
and 0.050 mm....
Two processes for manufacturing large roller bearings are under study. In both cases, the diameters (in...
Two processes for manufacturing large roller bearings are under
study. In both cases, the diameters (in centimeters) are being
examined. A random sample of 26 roller bearings from the old
manufacturing process showed the sample variance of diameters to
be
s2 = 0.232.
Another random sample of 29 roller bearings from the new
manufacturing process showed the sample variance of their diameters
to be
s2 = 0.13.
Use a 5% level of significance to test the claim that there is...
Two processes for manufacturing large roller bearings are under study. In both cases, the diameters (in...
Two processes for manufacturing large roller bearings are under
study. In both cases, the diameters (in centimeters) are being
examined. A random sample of 21 roller bearings from the old
manufacturing process showed the sample variance of diameters to
be
s2 = 0.234.
Another random sample of 27 roller bearings from the new
manufacturing process showed the sample variance of their diameters
to be
s2 = 0.125.
Use a 5% level of significance to test the claim that there is...
Two processes for manufacturing large roller bearings are under study. In both cases, the diameters (in...
Two processes for manufacturing large roller bearings are under
study. In both cases, the diameters (in centimeters) are being
examined. A random sample of 21 roller bearings from the old
manufacturing process showed the sample variance of diameters to
be
s2 = 0.214.
Another random sample of 29 roller bearings from the new
manufacturing process showed the sample variance of their diameters
to be
s2 = 0.115.
Use a 5% level of significance to test the claim that there is...
A simple random sample of 25 ball bearings is selected. The mean diameter of the ball...
A simple random sample of 25 ball bearings is selected. The mean
diameter of the ball bearings is 3mm with a standard deviation of
0.05mm. Previous investigations suggest that the diameters measures
are normally distributed. Construct a 95% confidence interval for
the standard deviation of the diameters of the ball bearings in
this population. Explain how you found your answer.
A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball...
A national manufacturer of ball bearings is experimenting with
two different processes for producing precision ball bearings. It
is important that the diameters be as close as possible to an
industry standard. The output from each process is sampled and the
average error from the industry standard is calculated. The results
are presented below.
Process A
Process B
Mean
0.002mm
0.0026mm
Standard Deviation
0.0001mm
0.00012mm
Sample Size
25
12
The researcher is interested in...
A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball...
A national manufacturer of ball bearings is experimenting with
two different processes for producing precision ball bearings. It
is important that the diameters be as close as possible to an
industry standard. The output from each process is sampled and the
average error from the industry standard is calculated. The results
are presented below.
Process A
Process B
Mean
0.002mm
0.0026mm
Standard Deviation
0.0001mm
0.00012mm
Sample Size
25
12
The researcher is interested in...
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