The following three independent random samples are obtained fromthree normally distributed populations with equal variance. Thedependent variable is starting hourly wage, and the groups are thetypes of position (internship, co-op, work study). We are testingthe claim that the starting salaries for new college graduate aredifferent depending on the positions at α=0.2α=0.2 given thefollowing data
Group 1: Internship | Group 2: Co-op | Group 3: Work Study |
---|
10 | 11.25 | 16 |
14.75 | 13 | 14 |
10.5 | 13.5 | 14 |
9.5 | 17.75 | 13 |
14.75 | 8.5 | 16.5 |
14 | 10 | 16 |
15 | 14 | 13.5 |
11 | 14.25 | 12 |
12.75 | 12.5 | 15.75 |
11.25 | 13.25 | 16.25 |
- For this study, we should use Select an answer χ²GOF-TestT-Test 1-PropZInt TInterval 2-PropZInt 2-SampTInt χ²-Test ANOVA1-PropZTest 2-SampTTest 2-PropZTest
- Your friend Monique helped you with the null and alternativehypotheses...
H0: μ1=μ2=μ3H0: μ1=μ2=μ3
H1:H1: At least one of the mean is different from theothers.
- The test-statistic for this data = (Please show your answer to3 decimal places.)
- The p-value for this sample =Â Â (Please show youranswer to 4 decimal places.)
- The p-value is Select an answer greater than alpha, less than(or equal to) alpha  αα
- Base on this, we should Select an answer accept the nullhypothesis, reject the null hypothesis, accept the alternativehypothesis fail to reject the nullhypothesis  hypothesis
- As such, the final conclusion is that...
- Base on the sample data, there is sufficient evidence toconclude the claim that the starting salaries for new collegegraduate are different depending on the positions at αα = 0.2.
- Base on the sample data, there is not sufficient evidence toconclude the claim that the starting salaries for new collegegraduate are different depending on the positions at αα = 0.2.