A manager wishes to determine whether the mean times required to complete a certain project differ for the three levels of employee training. He randomly selected 8 employees with each of the three levels of training (beginner, intermediate, and advanced). Does the data provide sufficient evidence to indicate that the mean times required to complete a certain task differ based on training? Beginner: 10.5,11.0,15.5,21.5,32.0,12.0,22.5,20.0 Intermediate: 6.5,10.5,11.0,7.5,18.0,7.0,14.5,13.5 Advanced: 3.5,7.5,10.25,6.25,4.0,5.75,2.5,3.5 Beginner Mean: 19.38 Intermediate Mean: 11.06 Advanced mean: 5.41 Grand Mean: 11.95 Dependent variable: time in hours to complete the project (continuous DV) Independent variable: level of training (categorical: beginner, intermediate, advanced) Please show work and write using proper statistical notation What are the null and alternative hypotheses for this one-way ANOVA? Using a one-way ANOVA, is there a significant difference among the levels of training at p < .05 Using a topic of your own interest, develop a study that can be analyzed using a one-way ANOVA. The example must include one categorical IV, and one continuous DV, and be a between subjects design. You don’t need to conduct the ANOVA, just discuss the types of variables and the types of data required.
A manager wishes to determine whether the mean times required to complete a certain project differ for the three levels of employee training. He randomly selected 8 employees with each of the three levels of training (beginner, intermediate, and advanced). Does the data provide sufficient evidence to indicate that the mean times required to complete a certain task differ based on training?
Beginner: 10.5,11.0,15.5,21.5,32.0,12.0,22.5,20.0
Intermediate: 6.5,10.5,11.0,7.5,18.0,7.0,14.5,13.5
Advanced: 3.5,7.5,10.25,6.25,4.0,5.75,2.5,3.5
Beginner Mean: 19.38
Intermediate Mean: 11.06
Advanced mean: 5.41
Grand Mean: 11.95
Dependent variable: time in hours to complete the project (continuous DV)
Independent variable: level of training (categorical: beginner, intermediate, advanced)
Please show work and write using proper statistical notation
- What are the null and alternative hypotheses for this one-way ANOVA?
- Using a one-way ANOVA, is there a significant difference among the levels of training at p < .05
Using a topic of your own interest, develop a study that can be analyzed using a one-way ANOVA. The example must include one categorical IV, and one continuous DV, and be a between subjects design. You don’t need to conduct the ANOVA, just discuss the types of variables and the types of data required.
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