terested 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, 31 recent graduates who completed their master’s degrees, and finds that their mean salary is $36,900 per year. The standard deviation of annual salaries for the population of recent graduates who have master’s degrees is known to be $3000. She also surveys, at random, 34 recent graduates who completed their bachelor’s degrees, and finds that their mean salary is $35,600 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor’s degrees is known to be $1700. Test the claim at the 0.10 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 th

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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, 31 recent graduates who completed their master’s degrees, and finds that their mean salary is $36,900 per year. The standard deviation of annual salaries for the population of recent graduates who have master’s degrees is known to be $3000. She also surveys, at random, 34 recent graduates who completed their bachelor’s degrees, and finds that their mean salary is $35,600 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor’s degrees is known to be $1700. Test the claim at the 0.10 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.
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