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Standard error of the mean is 1.375 and margin of error of the mean is 2.694.
Based on the provided information, mean µ = 67.8 and standard deviation σ = 11.5. The sample size n = 70
The standard error (SE) of a statistic refers to the standard deviation of its sampling distribution or an estimate of that standard deviation.
Standard error (SE) is given by:
SE = σ/√n = 11.5/√70 = 1.375
The margin of error (MOE) refers to a statistic demonstrating the amount of random sampling error in the results of a survey.
Margin of error (MOE) is the standard error multiplied by a Z value that correspondence to a confidence percentage. Assuming a 95% confidence the Z value is 1.96. Hence,
MOE = z * σ/√n = 1.96 x 1.374 = 2.694
Learn more about Standard error:
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