Homework Answers
| No. | Time (Hours) | Increment | Order | f/s | Failure Frequency | Cumulative Frequency | F(t) | ln(t) | ln(ln(1/(1-F(1-t))) |
| 1 | 15 | 1 | 1 | f | 1 | 1 | 0.06 | 2.71 | -2.85 |
| 2 | 16 | 1 | 2 | f | 1 | 2 | 0.14 | 2.77 | -1.91 |
| 3 | 19 | 1 | 3 | f | 1 | 3 | 0.22 | 2.94 | -1.4 |
| 4 | 28 | 1 | 4 | f | 1 | 4 | 0.3 | 3.33 | -1.04 |
| 5 | 49 | 1 | 5 | f | 1 | 5 | 0.38 | 3.89 | -0.74 |
| 6 | 57 | 1 | 6 | f | 1 | 6 | 0.46 | 4.04 | -0.49 |
| 7 | 68 | 1 | 7 | f | 1 | 7 | 0.54 | 4.22 | -0.25 |
| 8 | 69 | 1 | 8 | f | 1 | 8 | 0.62 | 4.23 | -0.03 |
| 9 | 76 | 1 | 9 | f | 1 | 9 | 0.7 | 4.33 | 0.19 |
| 10 | 81 | 1 | 10 | f | 1 | 10 | 0.78 | 4.39 | 0.42 |
| 11 | 86 | 1 | 11 | f | 1 | 11 | 0.86 | 4.45 | 0.69 |
| 12 | 93 | 1 | 12 | f | 1 | 12 | 0.94 | 4.53 | 1.06 |
| Life units: Time (Hours), f/s: failure/suspension, F(t): cumulative probability of failure | |||||||||
parameters using the rank regression method
| Parameter | value |
| Shape parameter (β) | 1.56 |
| Characteristic life (η) | 64.1 |
The reliability component is derived by following formula:
The hazard function is given by :
putting the values of t=10,50 and 75 hours we get,
h(10)=0.0086
h(50)=0.0212
h(75)=0.0266
Add Answer to:
12 components were tested to failure. The (unordered) times to failure (in hours) 76, 86, 57,...
4. Reliability of Systems - Take n components to have failure times Ti, T2, ..., Tn...
4. Reliability of Systems - Take n components to have failure times Ti, T2, ..., Tn If we construct a complex system out of these distribution of the failure time T of the entire svstem in terms of the distributions of Ti, T2, ..., Tn. There are two basic networks. In a series hookup, the system fails as soon as any one of the components fails. Hence T - min(T1, T2, ...,Tn). In a parallel hookup the system is operational...
3. Six electronic controllers were tested under accelerated conditions and the following times to failure were...
3. Six electronic controllers were tested under accelerated conditions and the following times to failure were observed: 46, 64, 83, 105, 123 and 150 hours. Do the following: a Determine how you would classify this data, that is individual, grouped, suspended, censored uncensored, and so on. Select rank regression (least squares) method on X as the parameter estimation miethod and determine the parameters for this data using the following distributions and plot the data for each distribution. From the plot,...
Lenny Florita, an unmarried employee, works 44 hours in the week ended January 12. His pay...
Lenny Florita, an unmarried employee, works 44 hours in the week ended January 12. His pay rate is $14 per hour, and his wages have deductions for FICA Social Security, FICA Medicare, and federal income taxes. He claims four withholding allowances. Compute his regular pay, overtime pay (Lenny earns $21.00 per hour for each hour over 40 per week), and gross pay. Then compute his FICA tax deduction (6.2% for the Social Security portion and 1.45% for the Medicare portion),...
Student stress at final exam time comes partly from the uncertainty of grades and the consequence...
Student stress at final exam time comes partly from the
uncertainty of grades and the consequences of those grades. Can
knowledge of a midterm grade be used to predict a final exam grade?
A random sample of 200 BCOM students from recent years was taken
and their percentage grades on assignments, midterm exam, and final
exam were recorded. Let’s examine the ability of midterm and
assignment grades to predict final exam grades.
The data are shown here:
Assignment
Midterm
FinalExam...
Game_Number Winner Loser Duration 1 Jens Sven 41 2 Sven Jens 76 3 Sven Jens 156...
Game_Number Winner Loser Duration 1 Jens Sven 41 2 Sven Jens 76 3 Sven Jens 156 4 Sven Jens 151 5 Sven Jens 105 6 Jens Sven 71 7 Sven Jens 123 8 Sven Jens 111 9 Sven Jens 164 10 Sven Jens 116 11 Jens Sven 46 12 Sven Jens 88 13 Jens Sven 59 14 Jens Sven 47 15 Jens Sven 57 16 Sven Jens 108 17 Sven Jens 78 18 Sven Jens 94 19 Jens Sven 86...
DATA: ( You will have to paste it to a text editor and format it to be entered into statcrunch - ...
DATA: ( You will have to paste it to a text editor and format it
to be entered into statcrunch - sorry for inconvenience but I could
not find another way to post the data)
Strategy Code Score
C 1 45
C 1 53
C 1 72
C 1 55
C 1 67
C 1 53
C 1 66
C 1 54
C 1 53
C 1 67
C 1 60
C 1 64
C 1 69
C 1 52...
1. The data set on sheet #1 gives data on GPA category and number of hours studied. Construct com...
1. The data set on sheet #1 gives data on GPA category and number of hours studied. Construct comparative box plots of the data first GPA category. Then conduct two-sample t-test on the data for whether GPA category influences the number of hours studied. Be prepared to explain the results of the test and the meaning of the boxplots and how they relate to each other. Then redo the analysis by replacing the ordinal GPA category with a numerical dummy...
DATA DATA: ( You will have to paste it to a text editor and format it to be entered into statcru...
DATA
DATA: ( You will have to paste it to a text editor and format it
to be entered into statcrunch - sorry for inconvenience but I could
not find another way to post the data)
Strategy Code Score
C 1 45
C 1 53
C 1 72
C 1 55
C 1 67
C 1 53
C 1 66
C 1 54
C 1 53
C 1 67
C 1 60
C 1 64
C 1 69
C 1...
U (%) T, U (%) т, U (%) T, 34 0.0907 0.377 68 0.00008 35 0.0962...
U (%) T, U (%) т, U (%) T, 34 0.0907 0.377 68 0.00008 35 0.0962 69 0.390 1 0,0003 0.00071 0,00126 2 36 0.102 70 0.403 3 37 0.107 71 0.417 2H 0.113 4 38 72 0.431 5 39 73 0,00196 0.119 0.446 6 0.00283 0.00385 0.126 74 0.461 40 7 41 0.132 75 0.477 42 0,00502 0,00636 0.138 0.145 76 0.493 9 43 77 0.511 0.00785 10 44 45 0.152 78 0.529 0.547 11 0.0095 0.159 79 12...
1) Answer the question True or False. 1) Nonparametric methods focus on the location of the...
1) Answer the question True or False. 1) Nonparametric methods focus on the location of the probability distribution, rather than on specific parameters of the population. A) True B) False 2) Nonparametric tests are useful for qualitative data that can be ranked. A) True B) False 3) The sign test provides inferences about the population median rather than the population mean. A) True B) False 4) For a sign test to be valid, a large sample must be selected from...
4. Reliability of Systems - Take n components to have failure times Ti, T2, ..., Tn If we construct a complex system out of these distribution of the failure time T of the entire svstem in terms of the distributions of Ti, T2, ..., Tn. There are two basic networks. In a series hookup, the system fails as soon as any one of the components fails. Hence T - min(T1, T2, ...,Tn). In a parallel hookup the system is operational...
3. Six electronic controllers were tested under accelerated conditions and the following times to failure were observed: 46, 64, 83, 105, 123 and 150 hours. Do the following: a Determine how you would classify this data, that is individual, grouped, suspended, censored uncensored, and so on. Select rank regression (least squares) method on X as the parameter estimation miethod and determine the parameters for this data using the following distributions and plot the data for each distribution. From the plot,...
Lenny Florita, an unmarried employee, works 44 hours in the week ended January 12. His pay rate is $14 per hour, and his wages have deductions for FICA Social Security, FICA Medicare, and federal income taxes. He claims four withholding allowances. Compute his regular pay, overtime pay (Lenny earns $21.00 per hour for each hour over 40 per week), and gross pay. Then compute his FICA tax deduction (6.2% for the Social Security portion and 1.45% for the Medicare portion),...
Student stress at final exam time comes partly from the
uncertainty of grades and the consequences of those grades. Can
knowledge of a midterm grade be used to predict a final exam grade?
A random sample of 200 BCOM students from recent years was taken
and their percentage grades on assignments, midterm exam, and final
exam were recorded. Let’s examine the ability of midterm and
assignment grades to predict final exam grades.
The data are shown here:
Assignment
Midterm
FinalExam...
DATA: ( You will have to paste it to a text editor and format it
to be entered into statcrunch - sorry for inconvenience but I could
not find another way to post the data)
Strategy Code Score
C 1 45
C 1 53
C 1 72
C 1 55
C 1 67
C 1 53
C 1 66
C 1 54
C 1 53
C 1 67
C 1 60
C 1 64
C 1 69
C 1 52...
DATA
DATA: ( You will have to paste it to a text editor and format it
to be entered into statcrunch - sorry for inconvenience but I could
not find another way to post the data)
Strategy Code Score
C 1 45
C 1 53
C 1 72
C 1 55
C 1 67
C 1 53
C 1 66
C 1 54
C 1 53
C 1 67
C 1 60
C 1 64
C 1 69
C 1...
U (%) T, U (%) т, U (%) T, 34 0.0907 0.377 68 0.00008 35 0.0962 69 0.390 1 0,0003 0.00071 0,00126 2 36 0.102 70 0.403 3 37 0.107 71 0.417 2H 0.113 4 38 72 0.431 5 39 73 0,00196 0.119 0.446 6 0.00283 0.00385 0.126 74 0.461 40 7 41 0.132 75 0.477 42 0,00502 0,00636 0.138 0.145 76 0.493 9 43 77 0.511 0.00785 10 44 45 0.152 78 0.529 0.547 11 0.0095 0.159 79 12...
1) Answer the question True or False. 1) Nonparametric methods focus on the location of the probability distribution, rather than on specific parameters of the population. A) True B) False 2) Nonparametric tests are useful for qualitative data that can be ranked. A) True B) False 3) The sign test provides inferences about the population median rather than the population mean. A) True B) False 4) For a sign test to be valid, a large sample must be selected from...
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