A vehicle shaft is tested for its fatigue life using a fatigue test machine. In this test machine, parts are loaded using the pre-determined test stress, then unloaded an opposite load. This cycle of loading and unloading is then repeated until a failure is observed and following data is obtained: Sample # 1 4 Cycles to Failure 119 127 131 128 101 |(104 Cycles) Answer the following questions (Use 90 % confidence) a) Find out the population mean and uncertainty.

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A vehicle shaft is tested for its fatigue life using a fatigue test machine. In this test machine, parts are loaded using the pre-determined
test stress, then unloaded an opposite load. This cycle of loading and unloading is then repeated until a failure is observed and following
data is obtained:
Sample #
1
3
4
Cycles to Failure
119
127
131
128
101
(104 Cycles)
Answer the following questions (Use 90 % confidence)
a)
Find out the population mean and uncertainty.
Transcribed Image Text:A vehicle shaft is tested for its fatigue life using a fatigue test machine. In this test machine, parts are loaded using the pre-determined test stress, then unloaded an opposite load. This cycle of loading and unloading is then repeated until a failure is observed and following data is obtained: Sample # 1 3 4 Cycles to Failure 119 127 131 128 101 (104 Cycles) Answer the following questions (Use 90 % confidence) a) Find out the population mean and uncertainty.
A vehicle shaft is tested for its fatigue life using a fatigue test machine. In this test machine, parts are loaded using the pre-determined
test stress, then unloaded an opposite load. This cycle of loading and unloading is then repeated until a failure is observed and following
data is obtained:
Sample #
1
3
4
Cycles to Failure
119
127
131
128
101
(104 Cycles)
Answer the following questions (Use 90 % confidence)
a)
Find out the population mean and uncertainty.
b)
The uncertainty has been found as too high for a car manufacturer and asks for amendment in the design of the shaft. Therefore,
OEM supplier have decided to performed more tests before doing new design and manufacture. How many tests should be done in
order to reduce the uncertainty level from what you have found in part (a) to ± 5.1 104 Cycles.
c)
OEM supplier have used Finite Element Methods to design the part from the beginning. They have produced four samples and the
fatigue test results are given below. Find out that if there is a difference between the two designs or not.
New Sample #
1
2
3
4
Cycles to Failure
185
158
115
152
(104 Cycles)
Transcribed Image Text:A vehicle shaft is tested for its fatigue life using a fatigue test machine. In this test machine, parts are loaded using the pre-determined test stress, then unloaded an opposite load. This cycle of loading and unloading is then repeated until a failure is observed and following data is obtained: Sample # 1 3 4 Cycles to Failure 119 127 131 128 101 (104 Cycles) Answer the following questions (Use 90 % confidence) a) Find out the population mean and uncertainty. b) The uncertainty has been found as too high for a car manufacturer and asks for amendment in the design of the shaft. Therefore, OEM supplier have decided to performed more tests before doing new design and manufacture. How many tests should be done in order to reduce the uncertainty level from what you have found in part (a) to ± 5.1 104 Cycles. c) OEM supplier have used Finite Element Methods to design the part from the beginning. They have produced four samples and the fatigue test results are given below. Find out that if there is a difference between the two designs or not. New Sample # 1 2 3 4 Cycles to Failure 185 158 115 152 (104 Cycles)
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