A manufacturing company produces electric insulators. You define the variable of
ID: 2928674 • Letter: A
Question
A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. You collect the force data for 30 insulators selected for the experiment and organize Suppose the population mean force that you try to estimate is 1760. Which of the following estimates for the population mean force with their respective mean and standard error has the(((((( highest bias))))?
Mean = 1620, SE = 54
Mean = 1690, SE = 115
Mean = 1950, SE = 254
Mean = 1790, SE = 134
1.Mean = 1620, SE = 54
2.Mean = 1690, SE = 115
3.Mean = 1950, SE = 254
4.Mean = 1790, SE = 134
Explanation / Answer
The estimate which would be having the most extreme z score will be having the highest bias.
1. z score = (1620 - 1760)/54 = -2.59
2. z score = (1690 - 1760)/115 = -0.61
3. z score = (1950 - 1760)/254 = 0.75
4. z score = (1790 - 1760)/134 = 0.22
Hence,
Option 1 will be having the highest bias.
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