Question 1 (5 points): Your company has just completed a high stress test of a s
ID: 3041433 • Letter: Q
Question
Question 1 (5 points): Your company has just completed a high stress test of a satellite communications system, but there are some indications that the functionality of the system may be affected by the ambient temperature. The following data were collected during a test of the system. Estimate the failure probability for "hot" and "cold" ambient conditions and provide the 95% confidence interval for each. Then, qualitatively compare the results and give your [evidence-based] opinion on whether temperature is a major factor in the system failuresExplanation / Answer
Let us consider Hot=1 Cold=2
Success=3, Failure=4
From the below table we can identify that total hot is 13 and total cold is 12
And total success is 17, 8 success is from Hot and 9 success is from Cold.
Total Failure is 8, more failure from Hot.
So, failure probability of hot =5/25
failure probability of cold =3/25
Conditions * Succ_Failure Crosstabulation
Count
Succ_Failure
Total
3.00
4.00
Conditions
1.00
8
5
13
2.00
9
3
12
Total
17
8
25
From this table, we can get the 95% CI for Hot and Cold
Descriptives
Condition
Statistic
Std. Error
Succ_Failure
1.00
Mean
3.3846
.14044
95% Confidence Interval for Mean
Lower Bound
3.0786
Upper Bound
3.6906
2.00
Mean
3.2500
.13056
95% Confidence Interval for Mean
Lower Bound
2.9626
Upper Bound
3.5374
Descriptive statistics table for the conditions
Conditions
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
1.00
13
2.9
52.0
52.0
2.00
12
2.7
48.0
100.0
Total
25
5.6
100.0
Missing
System
425
94.4
Total
450
100.0
Descriptive statistics table for Success and Failure
Succ_Failure
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
3.00
17
3.8
68.0
68.0
4.00
8
1.8
32.0
100.0
Total
25
5.6
100.0
Missing
System
425
94.4
Total
450
100.0
By analyzing these data we can identify that the temperature is a major factor for system failure
Conditions * Succ_Failure Crosstabulation
Count
Succ_Failure
Total
3.00
4.00
Conditions
1.00
8
5
13
2.00
9
3
12
Total
17
8
25
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