Question

An industrial psychologist has been called into to help increase sales performance among its employees. The industrial psychologist believes that personality type may be related to overall performance and collects data on employee personality and successful sales performance to test her hypothesis.

Neurotic	Agreeableness	Openness	∑x2 = 6758
T = 88	T = 136	T = 160	G = 384
M = 11	M = 17	M = 20	K = 3
SS = 89	SS = 102	SS = 82	N = 24

Using the data provided below and α = .05 level of significance determine whether there are differences in overall sales depending on personality. To receive full credit, type the hypotheses, critical boundary, MS_B, MS_W, F-score and final decision with an explanation, identify whether conducting post hoc tests is appropriate. You do not need to calculate the test. (8 points).  Calculate eta squared if appropriate ( 2 points).

Answer 1

Hypotheses Ho: M, = M₂=M3 Hii Means are not all equal, Given. information: 2x²=6758 T=88 T2=136 Tz=160 C = 384 M= M₂=17 M2=20 k - 3 SS=89 Sa = 102 SS3=82 M =24 ng 58 n3=8 SSB (Grand man in a G Il 16 SSB=Z - 200+ 8 + 128=336 7 ne (Mi - x)² ss; = 89+102 +82 = 273 Ssw= Critical vahu ferit af 9 0.05, kt,M-k =4.05,2,29 3.4668 336 SSB MSBE kt 37 msw = ssw 273 Nak = 13 24-3 f-drore = MSB 113 13 Msw = 8.6923 greater than the null hypothesis, and Deusion: The Foscore value es critical value. Hence, reject the There is sufficient evidence that personality type has related to ovesall performance. So, at least two significantly different and require the post hoc tests to test identify the different means, means