Question
A career counselor wants to understand if the average annual earnings differ by educational attainment. The counselor uses three education levels: high school or less,
A career counselor wants to understand if the average annual earnings differ by educational attainment. The counselor uses three education levels: high school or less, undergraduate degree, and master's degree or more. After collecting data, the resulting incomplete one-way ANOVA table and Tukey's confidence intervals are shown below.
Source of Variation | SS | df | MS | F |
Between Degrees | 1,936 | |||
Within Degrees | ||||
Total | 8,054 | 24 |
Lower | Upper | |
Undergraduate-High School | 8.23 | 43.11 |
Master's-High School | 11.89 | 46.77 |
Master's-Undergraduate | -12.65 | 19.98 |
a. Complete the ANOVA table.
b. Set up the competing hypothesis to test whether there are differences in mean annual salary between the different education levels.
c. At the 5% significance level, what is the conclusion to the test?
d. If significant differences exist, use Tukey's confidence intervals to determine which educational levels have different mean annual earnings.
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