Question
In: Statistics and Probability
A tool-and-die machine shop produces extremely high-tolerance spindles. The spindles are 18-inch slender rods used in...
A tool-and-die machine shop produces extremely high-tolerance spindles. The spindles are 18-inch slender rods used in a variety of military equipment. A piece of equipment used in the manufacture of the spindles malfunctions on occasion and places a single gouge somewhere on the spindle. However, if a defective spindle can be cut so that it has 14 consecutive inches without a gouge, then it can be salvaged for other purposes. Assume that the location of the gouge along a defective spindle is random, i.e., the distance of the location of the gouge from one end of the spindle is uniformly distributed over the interval (0, 18).
If a defective spindle is randomly selected, what is the probability that it cannot be salvaged?
If 10 defective spindles are randomly selected, what is the probability that at least 6 cannot be salvaged?
Solutions
orchestra answered 2 years agoRelated Solutions
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?
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...
Brothers Anthony and Christopher Gaber began operations of thier tool and die shop (A & C...
Brothers Anthony and Christopher Gaber began operations of thier
tool and die shop (A & C Tools Inc.) on January 1, 2016. The
company's fiscal year ends on December 31. The trial balance on
January 1, 2017, was as follows:
Account No.
Account Titles
Debit
Credit
01
Cash
$3,000
02
Account receivable
5,000
03
Service supplies inventory
12,000
04
Land
05
Equipment
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06
Accumulated depreciation (equipment)
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Other assets (not detailed, to simplify)
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Account payable
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Brothers Mike and Tim Hargen began operations of their tool and die shop (H & H...
Brothers Mike and Tim Hargen began operations of their tool and
die shop (H & H Tool, Inc.) on January 1, 2016. The annual
reporting period ends December 31. The trial balance on January 1,
2017, follows:
Account Titles
Debit
Credit
Cash
12,000
Accounts receivable
11,000
Supplies
26,000
Land
Equipment
93,000
Accumulated depreciation (on equipment)
12,000
Other assets (not detailed to simplify)
7,000
Accounts payable
Wages payable
Interest payable
Income taxes payable
Long-term notes payable
Common stock (6,000 shares, $.50...
LaRosa Machine Shop (LMS) is studying where to locate its tool bin facility on the shop...
LaRosa Machine Shop (LMS) is studying where to locate its tool
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Location
Station
X
Y
Demand
Fabrication
1.0
4.0
12
Paint
1.0
2.0
19
Subassembly 1
2.5
2.0
13
Subassembly 2
3.0
5.0
7
Assembly
4.0
4.0
12
In an attempt to be fair to the workers in each of the
production stations, management has decided to try to find the
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LaRosa Machine Shop (LMS) is studying where to locate its tool bin facility on the shop...
LaRosa Machine Shop (LMS) is studying where to locate its tool
bin facility on the shop floor. The locations of the five
production stations appear in figure shown below.
Location
Station
X
Y
Demand
Fabrication
1.0
4.0
12
Paint
1.0
2.0
24
Subassembly 1
2.5
2.0
13
Subassembly 2
3.0
5.0
7
Assembly
4.0
4.0
22
In an attempt to be fair to the workers in each of the
production stations, management has decided to try to find the
position...
A steel factory produces iron rods that are supposed to be 36 inches long. The machine...
A steel factory produces iron rods that are supposed
to be 36 inches long. The machine that makes
these rods does not produce each rod exactly 36 inches long. The
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It is known that when the machine is working properly, the mean
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According to design, the standard deviation of the lengths of all
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Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine...
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