A college student is interested in investigating the claim that students who graduate with a master’s degree earn higher

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A college student is interested in investigating the claim that
students who graduate with a master’s degree earn higher salaries,
on average, than those who finish with a bachelor’s degree. She
surveys, at random, 34 recent graduates who completed their
master’s degrees, and finds that their mean salary is
$34,300 per year. The standard deviation of annual salaries
for the population of recent graduates who have master’s degrees is
known to be $3200 . She also surveys, at random,
42 recent graduates who completed their bachelor’s degrees,
and finds that their mean salary is $32,700 per year. The
standard deviation of annual salaries for the population of recent
graduates with only bachelor’s degrees is known to be $2300. Test
the claim at the 0.02 level of significance. Let recent graduates
with a master's degree be Population 1 and let recent graduates
with a bachelor's degree be Population 2.
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in
the blank below.
H0: μ1= μ2 Ha: μ1⎯⎯μ2
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
two decimal places.
Step 3 of 3: Draw a conclusion and interpret the
decision.