Use the following to answer the questions below:
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 120 males and 105 females, find the standard error of the distribution of differences in sample means, where
and
represent the sample means for males and females, respectively. Report your standard error with four decimal places.
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