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 $31,700 per year. The standard deviation of annual salaries for the population of recent graduates who have master's degrees is known to be $1500. She also surveys, at random, 41 recent graduates who completed their bachelor's degrees, and finds that their mean salary is $30,700 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 0.05 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. Ho1 = 42 H2 : "H part 2: Compute the test statistic. Round answer to two decimal places. part 3:Draw conclusion and interpret decision

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
$31,700 per year. The standard deviation of annual salaries for the population of recent graduates who
have master's degrees is known to be $1500. She also surveys, at random, 41 recent graduates who
completed their bachelor's degrees, and finds that their mean salary is $30,700 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 0.05 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.
Ho H1 = H2
H2
: "H
part 2: Compute the test statistic. Round
answer to two decimal places.
part 3:Draw conclusion and interpret decision
Transcribed Image Text: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 $31,700 per year. The standard deviation of annual salaries for the population of recent graduates who have master's degrees is known to be $1500. She also surveys, at random, 41 recent graduates who completed their bachelor's degrees, and finds that their mean salary is $30,700 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 0.05 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. Ho H1 = H2 H2 : "H part 2: Compute the test statistic. Round answer to two decimal places. part 3:Draw conclusion and interpret decision
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