Question

when the sample size n is large, the standard deviation of x-bar is approximately the same as the standard deviation from which the sample is taken. True or False?

Answer 1

The standard deviation of x-bar is approximately the same as the standard deviation from which the sample is taken when the sample size is large. This statement is true according to the central limit theorem.

Step-by-step explanation:

True. According to the central limit theorem, the larger the sample, the closer the sampling distribution of the means becomes normal.

Answer 2

False

Step-by-step explanation:

By the Central Limit Theorem, as the sample size
`n` gets larger, the smaller the standard deviation
`\sigma` of the sampling distribution gets.