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. Ho:μ1 = μ₂ Ha P μ₂

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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.

We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 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 0.02 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 insufficient evidence at a 0.02 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 fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 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.
Transcribed Image Text:We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 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 0.02 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 insufficient evidence at a 0.02 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 fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 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.
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.
Ho: M₁ = μ₂
Ha: 1.
μ2
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, 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. Ho: M₁ = μ₂ Ha: 1. μ2
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