Group 1: Internship Group 2: Co-op Group 3: Work Study 12.5 13.75 12.75 12 14.5 12 9.5 13.25 14 13.5 13 13.5 12 14 12.75 15.5 14.5 11.75 12.25 14.75 10.5 14 14.75 13 13 15.5 13.5

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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The following three independent random samples are obtained from three normally distributed populations with equal variance.  The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that the starting salaries for new college graduate are different depending on the positions at α=0.05α=0.05 given the following data

Group 1: Internship Group 2: Co-op Group 3: Work Study
12.5 13.75 12.75
12 14.5 12
9.5 13.25 14
13.5 13 13.5
12 14 12.75
15.5 14.5 11.75
12.25 14.75 10.5
14 14.75 13
13 15.5 13.5



    1. For this study, we should use ----     ?        

 

2. Your friend Vivian helped you with the null and alternative hypotheses...
H0: μ1=μ2=μ3H0: μ1=μ2=μ3
H1:H1: At least one of the mean is different from the others.

3. The test-statistic for this data = ? (Please show your answer to 3 decimal places.)

 

4. The p-value for this sample = ?  (Please show your answer to 4 decimal places.)

 

5. The p-value is  ?   αα

                                  -less than (or equal to) alpha

                                  -greater than alpha

6. Base on this, we should    ?   hypothesis

                     -accept the null hypothesis

                     -accept the alternative hypothesis

                     -reject the null hypothesis

                      -fail to reject the null hypothesis

7. As such, the final conclusion is that...

  • Base on the sample data, there is not sufficient evidence to conclude the claim that the starting salaries for new college graduate are different depending on the positions at αα = 0.05.
  • Base on the sample data, there is sufficient evidence to conclude the claim that the starting salaries for new college graduate are different depending on the positions at αα = 0.05.
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