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.(

Answer 1

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.