Analyze using empirical rules. Use $3$ standard deviations.

$($Round to two decimal places as$$ needed.$)$

For a sample of size$50,$ we would expect the sample means to fall between

$$

enter your response here and

$$

enter your response here. For a sample of size$100,$ we would expect the sample means to fall between

$$

enter your response here and

$$

enter your response here. For a sample of size$250,$ we would expect the sample means to fall between

$$

enter your response here and

$$

enter your response here. For a sample of size$500,$ we would expect the sample means to fall between

$$

enter your response here and

$$

enter your response here. As the sample size$$ increases, the error

$$

increases.

decreases.

remains the same.