Asked by Julannah Cobbs on Jul 18, 2024
Verified
A study compares the means of two groups, each having N = 20. If the standard deviations of the two groups are 10.00 and 6.00, what is the value for the standard error of the difference ?
A) .89
B) 2.61
C) 5.43
D) 6.80
Standard Error
A measure of the accuracy of a sample mean by describing how much the sample mean deviates from the true population mean.
Means
Refers to the central tendency or average of a set of values, signifying a typical or representative value of the dataset.
Standard Deviations
A statistic that measures the dispersion or variation from the mean in a set of data.
- Compute and comprehend the standard error associated with the disparity between two averages.
Verified Answer
AC
along chanelJul 21, 2024
Final Answer :
B
Explanation :
The standard error of the difference between means is calculated as the square root of [(SD1^2/N1) + (SD2^2/N2)]. Substituting the given values, we get the standard error as square root of [(10^2/20) + (6^2/20)] = 2.61. Therefore, the correct answer is B.
Learning Objectives
- Compute and comprehend the standard error associated with the disparity between two averages.
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