The following three independent random samples are obtained from three normally distributed population with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10.
The following three independent random samples are obtained from three normally distributed population with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The text below describes a statistical analysis performed to compare the starting hourly wages among three types of positions: work study, co-op, and internship.
### Summary Statistics:
This table provides the mean, standard deviation, and sample size for each position type.
- **Work Study**:
- Mean: 12.942
- Standard Deviation: 0.3246
- Sample Size: 15
- **Co-op**:
- Mean: 14.145
- Standard Deviation: 1.751
- Sample Size: 24
- **Internship**:
- Mean: 15.452
- Standard Deviation: 0.5053
- Sample Size: 10
### ANOVA Table:
This table is used to determine if there are any statistically significant differences between the means of the groups.
- **Source** within ANOVA:
- **Between**:
- Sum of Squares (SS): 38.2855
- Degrees of Freedom (df): 2
- Mean Square (MS): 19.1428
- F-value: 11.8531
- P-value: 7.0E-5
- **Within** (Error):
- SS: 74.2911
- df: 46
- MS: 1.615
- **Total**:
- SS: 112.5766
- df: 48
### Bonferroni Test:
This test is conducted to identify specifically which means are statistically significantly different from each other. It involves calculating the test statistic and adjusted P-value for the following comparisons. The results are yet to be completed:
1. **Work Study vs. Co-op**
2. **Work Study vs. Internship**
3. **Co-op vs. Internship**
The table provides placeholders to fill in the test statistic, adjusted P-value, and whether the difference is statistically significant for each comparison.
This analysis helps in understanding if the type of position affects the starting hourly wage significantly.
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