Question
In: Statistics and Probability
A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is...
A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is taken and the diameters are found to be 1.02, 0.95, 1.03, 1.07, 0.98, 0.98, 0.99, 1.01, and 1.06 centimeters. Compute the sample mean x, the sample standard deviation s and the median of the sample. Determine the 95% confidence interval for the mean. Assume an approximately normal distribution for the diameter random variable. (Hint: Use the t–distribution.)
Solutions
orchestra answered 1 year agoRelated Solutions
1. A machine produces metal pieces that are cylindrical in shape. A sample of 36 metal...
1. A machine produces metal pieces that are cylindrical in
shape. A sample of 36 metal pieces is taken and the mean diameters
for this sample was 6.21 centimeters. In addition from previous
studies it is know that the population is approximately Normal with
a standard deviation 1.84centimeter.
Note: Do the calculations by hand, but show the R code and
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A machine is producing metal pieces that are cylindrical in shape. A sample of 12 pieces...
A machine is producing metal pieces that are cylindrical
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0.90 centimeters.
a. Find 98% confidence interval for the true average diameter of
metal pieces produced by the machine.
We would like to test whether the true average diameter
of metal pieces produced by the machine is less than 1
centimeter.
b. Assuming the population distribution is approximately...
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A machine produces metal rods used in an automobile suspension system. A random sample of 15...
A machine produces metal rods used in an automobile suspension
system. A random sample of 15 rods is selected, and the diameter is
measured. The resulting data (in millimeters) are as follows:
8.24, 8.25, 8.20, 8.23, 8.24, 8.21, 8.26, 8.26, 8.20, 8.25,
8.23, 8.23, 8.19, 8.25, 8.24.
You have to find a 95% two-sided confidence interval on mean rod
diameter. What is the upper value of the 95% CI of mean rod
diameter? Please report your answer to 3 decimal...
A machine produces metal rods used in an automobile suspension system. A random sample of n...
A machine produces metal rods used in an automobile suspension
system. A random sample of n = 12 rods is selected, and their
diameters are measured. The resulting data in millimeters are shown
here: 8.23 8.31 8.42 8.29 8.19 8.24 8.19 8.29 8.30 8.14 8.32
8.40
a) Calculate the sample mean x bar and the unbiased variance
estimate s^2
b) Let α = 0.05. Determine the percentage point tα/2, n−1 of the
corresponding t-distribution.
c) Assuming that the data comes...
A machine produces metal rods used in an automobile suspension system. A random sample of 12...
A machine produces metal rods used in an automobile suspension
system. A random sample of 12 rods is selected and the diameter is
measured. The resulting data, in mm, are shown here:
3.11
2.88 3.08 3.01
2.84
2.86 3.04 3.09
3.08
2.89 3.12 2.98
a. Find a two-sided
95% confidence interval for the mean rod diameter. State the
assumption necessary to find the confidence
interval.
Is there any evidence to indicate that mean rod diameter is
different...
A machine produces metal rods used in automobile suspension system. A random sample of 16 rods...
A machine produces metal rods used in automobile suspension
system. A random sample of 16 rods is selected, and the diameter
measured. The resulting data in millimeters are shown here: 8.23
8.58 8.42 8.18 8.86 8.25 8.69 8.27 8.19 8.96 8.33 8.34 8.78 8.32
8.68 8.41 Calculate a 90% confidence interval on the diameter mean.
With 90% confidence, what is the right-value of the confidence
interval on the diameter mean?
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why the cylindrical shape of a can is the optimal shape
Needs to be 2 pages.
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Draw all possible border pieces of a puzzle, each having a
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Border-pieces are puzzle pieces that have at least one smooth
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The density function is ?(?, ?, ?) = ?? ? . Determine the mass and
center of mass of the wire.
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