Question

The Human Resource Manager of a large insurance company wishes to evaluate the leadership qualities of 3 manager groups- supervisors, mid-level managers and upper-level managers. 12 people from each management level were sampled. Is there a difference on the average of the leadership scores for the three groups? Part of the leadership scores (higher is better) and ANOVA table are as follows: Supervisor Mid- Manager Upper-Manager 33 29 32 43 36 39 34 32 40 29 36 46 ANOVA TABLE Sources of Variation SS df MS F p-value F crit Between Groups 396 2. ???? 3.808 Within Groups 1716 33 ???? Total 2112 35

Answer 1

# dif. MS Feritical Given that! ss A NOVA_TABLE Source of Variance 396 ss Between Groups 1746 396 within Groups 1716 Total 2112 198 52 33 35 soos i Critical value at s % alpha is Exifieue F2,337 = 3.285 so option © is correct (from F-table) ire o 13.20 (2 Sum of squares is explained by the posiation of the manager 3961 l-e ss between 3 a option is correct so 396 1901 = 13 MSERetween SS Between dif 2 Berween option is correct. 4 AO (Assume) Fall = 6 Fonitical 3.20 = Feal > Furitical at 420.05 we Reject Null Hypo- thesis (Ha). option is correct. le. All three - Manager group have different Mean leadership Scores

classmate Date Page Hoi Mi=l2 = 13 للدولههد P-value = 0.0005 (Assumed) x=0.05 p-value &x=0.05 i ( significat) Hence we reject the null Hypothesis. option is correct lie. All three Manger groups have the same different mean leadership score.