In a given year, the average score on the Mathematics portion of the ACT for males was 21.3 with standard deviation 5.3. The average score on the Mathematics portion of the ACT for females was 20.2 with standard deviation 4.8.

If random samples are taken with 50 males and 70 females, find the standard error of the distribution of differences in sample means, xmxf, where xm and xf represent the sample means for males and females, respectively. Report the standard error with four decimal places.

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