Question

A sample dataset of 812 has a mean of 38.6 with a standard deviation of 1.2. What is the margin of error? Round the answer to the nearest hundredth.(

Answers

Answered by GPT 3.5
The margin of error can be calculated by multiplying the standard deviation by the critical value of the confidence level.

Assuming a 95% confidence level, the critical value is approximately 1.96.

Margin of error = 1.96 * (1.2 / sqrt(812))
Margin of error ≈ 1.96 * (1.2 / 28.51)
Margin of error ≈ 1.96 * 0.04212
Margin of error ≈ 0.0826

Therefore, the margin of error is approximately 0.08.
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