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, 49 recent graduates who completed their
master’s degrees, and finds that their mean salary is $31,100
per year. The standard deviation of annual salaries for the
population of recent graduates who have master’s degrees is known
to be $1000 . She also surveys, at random, 38 recent graduates
who completed their bachelor’s degrees, and finds that their mean
salary is $30,300 per year. The standard deviation of annual
salaries for the population of recent graduates with only
bachelor’s degrees is known to be $2100 . Test the claim at
the 0.05 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.