A veterinarian wants to estimate the difference between the average weight of male and female bull terriers. A random sample of $35$ male bull terriers had an average weight of $58.34\text{ pounds}$ with a standard error of $4.69\text{ pounds}$. A random sample of $35$ female bull terriers had an average weight of $52.63\text{ pounds}$ with a standard error of $4.02\text{ pounds}$.

What is the standard error of the difference(male-female) between the sample means?

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