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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The mean score on a biology exam taken by all undergraduate students in a college in a particular year is 67. 8 with a standard deviation of 11. 5. The standard error of the mean for a sample of 70 students is , and the margin of error of the mean is. (round off your answers to the nearest hundredth. ).

Sagot :

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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