Problem

If a distribution is normal, then it is not possible to randomly select a value that is more than 4 standard deviations from the mean.
True
False

Answer

Expert–verified
Hide Steps
Answer

Final Answer: \(\boxed{\text{False}}\)

Steps

Step 1 :The question is asking whether it is possible to randomly select a value that is more than 4 standard deviations from the mean in a normal distribution.

Step 2 :In a normal distribution, values can fall anywhere on the real line, from negative infinity to positive infinity.

Step 3 :Therefore, it is indeed possible to select a value that is more than 4 standard deviations away from the mean, although the probability of doing so is very low.

Step 4 :Final Answer: \(\boxed{\text{False}}\)

link_gpt