Question 1: The transducer is chosen to measure a nominal pressure of 500 cm H2O. The ambient temperature is expected to vary between 18° and 25°C during tests. Estimate the magnitude of each elemental error affecting the measured pressure.
Question 2: Develop a histogram for the data listed in column 1. Discuss each axis and describe the overall shape of the histogram?
Question 3: From the data in column I. estimate the range of values for with yea would expect 95% of all possible measured values for this operating condition to fall. Repeat for columns 2 and 3. Discuss these outcomes in terms of what you might expect from finite statistics.
Question 4: An automotive manufacturer removes the friction linings from the clutch plates of drag race cars following left runs. A sampling of 10 linings for wear show the following values (in µm): 204.5, 231.1, 157.5, 190.5, 261.6, 127.0, 216.6, 172.7, 243.8 and 291.0. Estimate the average wear and its variance. Based on this sample, how many clutch plates out of a large set will be expected to show wear of more than 203 µm?
Question 5: The following data were collected by measuring the force load acting on a small area of a beam under repeated "fixed" conditions:
|
Reading
|
Output (N)
|
Reading Number
|
Output (N)
|
|
1
|
923
|
6
|
916
|
|
2
|
932
|
7
|
927
|
|
3
|
908
|
8
|
931
|
|
4
|
932
|
9
|
926
|
|
5
|
919
|
10
|
923
|
Determine if any of these data points should be considered outliers. If so, reject the data point.
Estimate the true mean value from this data set assuming that the only error is from variations in the data set.