How do unit increases in and variance of the sampling distribution of totals? an increases, the mean remains unchanged, but the variance increases on a linear basis mean increases by E(X) and the variance by Var(X) with each unit increase in n otal of the averages and the total of the variability increase logarithmically with unit increases in n ean remains unchanged (u), but the variance decreases with unit increases in n an and the variance remain unchanged

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Question:**

How do unit increases in sample size (i.e., going from 1 to 2 to 3 and so on) impact the mean and variance of the sampling distribution of totals?

**Options:**

- As \( n \) increases, the mean remains unchanged, but the variance increases on a linear basis.
- The mean increases by \( E(X) \) and the variance by \( \text{Var}(X) \) with each unit increase in \( n \).
- The total of the averages and the total of the variability increase logarithmically with unit increases in \( n \).
- The mean remains unchanged (\( \mu \)), but the variance decreases with unit increases in \( n \).
- The mean and the variance remain unchanged.
Transcribed Image Text:**Question:** How do unit increases in sample size (i.e., going from 1 to 2 to 3 and so on) impact the mean and variance of the sampling distribution of totals? **Options:** - As \( n \) increases, the mean remains unchanged, but the variance increases on a linear basis. - The mean increases by \( E(X) \) and the variance by \( \text{Var}(X) \) with each unit increase in \( n \). - The total of the averages and the total of the variability increase logarithmically with unit increases in \( n \). - The mean remains unchanged (\( \mu \)), but the variance decreases with unit increases in \( n \). - The mean and the variance remain unchanged.
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