Question: Variable Mean N Std Dev Col 1 12.96 500 2.8618 Col 2 13.039 500 2.9130 Col 3 12.9774 500 3.0232 Col 4 12.9616 500 2.8984

Variable Mean N Std Dev
Col 1 12.96 500 2.8618
Col 2 13.039 500 2.9130
Col 3 12.9774 500 3.0232
Col 4 12.9616 500 2.8984
Col 5 13.2682 500 2.8858
Col 6 (means) 13.04124 500 1.2502

1) What is the relationship between the mean of each of the 5 columns of raw data and the mean of the distribution of means (6th column)?

2) What is the relationship between the standard deviation of each column of data and the standard deviation of the distribution of means? Be as quantitative as possible in your answer (is there an equation that approximately describes the relationship?).

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