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A sociologist will conduct a two-sample -test for a difference in means to investigate whether there
is a significant difference, on average, between the salaries of people with bachelor’s degrees and
people with master’s degrees. From a random sample of 32 people with a bachelor’s degree, the
average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people
with a master’s degree, the average salary was $58,000 with a standard deviation of $4,000.
With a null hypothesis of no difference in the means, which of the following is the test statistic for
the appropriate test to investigate whether there is a difference in population means (master’s
degree minus bachelor’s degree) ?

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