Question: Please use the ANOVA test for the following problems to compare multiple means. You can use Excel if needed. Q. Are anticipated starting salaries different
Please use the ANOVA test for the following problems to compare multiple means. You can use Excel if needed.
Q. Are anticipated starting salaries different among different engineering majors? Here are the ANOVA datasets for different major salaries.
| Chemical Engineering | Biological Engineering | Civil Engineering | Electrical Engineering |
| 70000 | 65000 | 73000 | 78000 |
| 65000 | 55000 | 74000 | 56000 |
| 60000 | 61000 | 60000 | 63000 |
| 80000 | 59000 | 59000 | 54000 |
| 75000 | 62000 | 63000 | 59000 |
| 61000 | 71000 | 80000 | 120000 |
| 50000 | 80000 | 76000 | 45000 |
| 62000 | 57000 | 62000 | 57000 |
| 76000 | 60000 | 56000 | 49000 |
| 58000 | 61000 | 64000 | |
| 60000 | 71000 | 55000 | |
| 54000 |
- Give context to the analysis by stating the question of interest.
2. Present mean values, standard deviations, and sample sizes in a table.
3. Provide a side-by-side boxplot, add a title, and label the axes.
4. Give a summary of the plot. Do the means appear to be different based on the visual evidence?
5. State the null and alternative hypotheses. Check that the conditions of each analysis are met.
6. Give the ANOVA table.
7. Provide a summary of the results using alpha = 0.05.
- In terms of the alternative hypothesis, give a statement.
- Indicate whether (or not) null should be rejected.
- Give the test statistic, degrees of freedom, and p-value.
- Be sure to give context.
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