About 5% of a certain type of wall nails made by a hardware supplier exceeds the requirement of being able to support 500 pounds of weight. The supplier decides to remove these nails and sell them as premium wall nails. What will happen to the standard deviation of the weight the regular nails can support? A. It will increase. B. It will decrease. C. It will not change at all. D. The effect is unknown. Its C right?
@ehuman
I honestly don't know but don't think it will change because the nails with 5% deviation were removed, do what was left "should" maintain the same standard deviation for weight support.
I would wait for someone who knows standard deviation rules and calculations
@ranga
Has been a while since I did stats but based on distant memory I'd think the standard deviation will decrease. But can't be 100% sure.
@katlin95 I am not 100% sure but my thinking is that the standard deviation will decrease provided that it is known that the remaining regular nails support at least 500 pounds.
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