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The following three independent random samples are obtained from three normally distributed populations with equal variance

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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=0.05 given the following data:

Group 1: Internship	Group 2: Co-op	Group 3: Work Study
13	11.5	13
12.5	12	14.75
11.75	8.25	11.5
11	12.5	14.5
13.25	11.25	12
12.25	11	11.75

 

Please answer questions 1-7 below

 

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

 

2. For this study, we should use  

 

3. The test-statistic for this data =

 

4. The p-value for this sample =

 

5. The p-value is                   a

 

6. Base on this, we should                hypothesis

 

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

A. 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

OR

B. 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.