The company you work for produces automotive parts for GM. A certain machine tha
ID: 3044431 • Letter: T
Question
The company you work for produces automotive parts for GM. A certain machine that makes a cutout in a piece of steel averages a cut size of 209.5068 mm with a standard deviation of 0.28311 mm. According to the Central Limit Theorem, what happens to the histogram of averages as n increases?
1) The histogram will begin to look less like the normal curve.
2) It depends on the mean and standard deviation.
3) The histogram will begin to look more like the original distribution.
4) The histogram will begin to look more like the normal curve.
5) Increasing n will not affect the histogram of averages.
Explanation / Answer
According to Central Limit Theorem, as the sample size n increases, the distribution of averages tend to get normalized.
Therefore, the histrogram of averages will being to look more like the normal curve.
The correct answer is 4).