One-Way ANOVA: Seminar Evaluation Scores by Manager Level A management consulting company presents a 3-day seminar on project management to various clients. The seminar is basically the same each time it is given. However, sometimes it is presented to high-level managers, sometimes to mid-level mana
One-Way ANOVA: Seminar Evaluation Scores by Manager Level
A management consulting company presents a 3-day seminar on project management to various clients. The seminar is basically the same each time it is given. However, sometimes it is presented to high-level managers, sometimes to mid-level managers, and sometimes to low-level managers. The seminar facilitators believe evaluations of the seminar may vary with the audience. Suppose the following data are some randomly selected evaluation scores from different levels of managers after they have attended the seminar. The ratings are on a scale from 1 to 100, with 100 being the highest score. Use a one-way ANOVA to determine whether there is a significant difference in the evaluation according to manager level. The following table gives the scores to the various clients due to different manager levels.
$$\begin{array}{|c|c|c|c|} \hline & \text{High Level} & \text{Mid Level} & \text{Low Level} \ \hline & 85 & 90 & 55 \ & 75 & 100 & 75 \ & 85 & 95 & 80 \ & 60 & 85 & 75 \ & 70 & 90 & \ & & 75 & \ \hline \end{array}$$
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High Level Mid Level Low Level :-::-::-: 85 90 55 75 100 75 85 95 80 60 85 75 70 90 75 - $n1 = 5,\ n2 = 6,\ n3 = 4$ - Total $N = 15$, groups $k = 3$ - $\alpha = 0.05$ - $H0: \mu1 = \mu2 = \mu3$ (no significant difference) - $H1:$ at least one mean differs $$T1 = 85+75+85+60+70 = 375,\quad \bar X1...