Explain why it is likely that the distributions of the following variables will be normal: the diameter of bolts immediately after manufacture.
iescabroussexg
Answered question
2022-09-09
Answer & Explanation
Sanaa Holder
Beginner2022-09-10Added 20 answers
We need to explain why the given variable is likely to have a normal distribution.
A normal distribution is a symmetric distribution with a peak in the middle of the distribution (at the mean).
A normal distribution contains some unusually small data values and some unusually large data values. Moreover, the unusual data values are roughly balanced on either side.
The diameter of bolts will most likely be approximately the same as the diameter mentioned on the package of the bolts.
We would expect some cans to have an unusually small diameter and some to have an unusually large diameter compared to the value mentioned on the package. The unusual data values are then expected to be roughly balanced on both sides and thus the distribution appears to be a normal distribution.
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