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, 45 recent graduates who completed their master's degrees, and finds that their mean salary is $38,200 per year. The standard deviation of annual salaries for the population of recent graduates who have master's degrees is known to be $2800. She also surveys, at random, 36 recent graduates who completed their bachelor's degrees, and finds that their mean salary is $37,300 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor's degrees is known to be $1900. 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. Ho: #₁ = 4₂ Ha M 142

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Step 1: Is it, " >, =/, or <" 

Step 2: Compute the value of the test statistic. Round your answer to two decimal places.

Step 3: Draw a conclusion and interpret the decision. 

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, 45 recent graduates who completed their master's degrees, and finds that their
mean salary is $38,200 per year. The standard deviation of annual salaries for the population of recent graduates who have master's degrees is
known to be $2800. She also surveys, at random, 36 recent graduates who completed their bachelor's degrees, and finds that their mean salary is
$37,300 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor's degrees is known to be
$1900. 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.
Ho:μ₁ = 1₂
Ha
142
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, 45 recent graduates who completed their master's degrees, and finds that their mean salary is $38,200 per year. The standard deviation of annual salaries for the population of recent graduates who have master's degrees is known to be $2800. She also surveys, at random, 36 recent graduates who completed their bachelor's degrees, and finds that their mean salary is $37,300 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor's degrees is known to be $1900. 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. Ho:μ₁ = 1₂ Ha 142
We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support the student's claim that
O
graduates with a master's degree earn higher salaries than those who finish with a bachelor's degree.
O
We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support the student's claim that
graduates with a master's degree earn higher salaries than those who finish with a bachelor's degree.
We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support the student's claim that
O
graduates with a master's degree earn higher salaries than those who finish with a bachelor's degree.
We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support the student's claim that
O
graduates with a master's degree earn higher salaries than those who finish with a bachelor's degree.
Transcribed Image Text:We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support the student's claim that O graduates with a master's degree earn higher salaries than those who finish with a bachelor's degree. O We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support the student's claim that graduates with a master's degree earn higher salaries than those who finish with a bachelor's degree. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support the student's claim that O graduates with a master's degree earn higher salaries than those who finish with a bachelor's degree. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support the student's claim that O graduates with a master's degree earn higher salaries than those who finish with a bachelor's degree.
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