When airbags in cars deploy, they fill at a certain “operating pressure”; for th
ID: 3297306 • Letter: W
Question
When airbags in cars deploy, they fill at a certain “operating pressure”; for this exercise, assume that operating pressure is equivalent to 62.33 megapascals (MPa). Each airbag has a limit as to how much pressure it can take before rupturing; this limit is the airbag’s “hydroburst pressure.” When an airbag deploys, if the operating pressure exceeds the hydroburst pressure, the airbag will rupture, causing injury or even death (assume that, if the operating pressure exceeds the hydroburst pressure by 3.0 MPa, an airbag deployment would be fatal).
In 2015, Takata Corp. reported hydroburst pressure values for ten of its airbags. The reported hydroburst pressure results (expressed in megapascals) are below:
79.8
81.4
78.2
80.8
78.4
79.8
79.8
80.4
78.8
80.4
1. Based on the reported values, would it be reasonable to allow the use of ~65 million Takata airbags? Choose the best answer.
A. Yes, because the Z value for the calculated risk is very low.
B. No, because there is a non-zero chance of injury or even death.
C. No, because different airbags have different hydroburst pressures, so some might be below the operating pressure.
D. Yes, because the maximum of the 10 values was much larger than 62.33 MPa.
E. Yes, because the median of the 10 values was much larger than 62.33 MPa.
It turns out that three of the report data points were fabricated. The actual data for the 10 hydroburst pressure tests are given below (with the replaced values are in bold).
83.9
81.4
78.2
80.8
68.4
79.8
79.8
80.4
78.8
85.9
2. What was the most significant effect of altering the data?
A. The altered data understated the true value of the median
B. The altered data overstated the true value of the mean
C. The altered data underestimated the true value of the standard deviation
D. The altered data made the data appear to be more skewed than they were
E. The altered data underestimated the maximum possible value for hydroburst pressure
79.8
81.4
78.2
80.8
78.4
79.8
79.8
80.4
78.8
80.4
Explanation / Answer
We have given that data ,
79.8
81.4
78.2
80.8
78.4
79.8
79.8
80.4
78.8
80.4
All observation greater than 62.33 Mpa. So that option D) is correct . Yes, maximum of 10 values was much greater than 62.33 Mpa.
We have given that data,
83.9
81.4
78.2
80.8
68.4
79.8
79.8
80.4
78.8
85.9
The most significant effect of altering the data. It made the data appear to more skewed than they were. Because shape of data is said the distribution fit of the data.so that option D) is correct.
79.8
81.4
78.2
80.8
78.4
79.8
79.8
80.4
78.8
80.4
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.