A large company is organized into 3 different functional areas:
manufacturing, marketing, and research & development. The
employees claim that the company pays women less than men for
similar jobs. The company randomly selected 4 females and 4 males
from each area and recorded their weekly salaries in dollars.
Area (rows)
Female
Male
Manufacturing
1016, 1007, 875, 968
978, 1056, 982, 748
Marketing
1045, 895,848, 904
1154, 1091 878, 876
Research & Development
770, 733, 844, 771
926, 1055, 1066, 1088
In the context of this problem (i.e.
use the terms given, not a definition), list the 3 sets of
hypothesis tests that can be conducted using this data.
First
set:
H0: ____________________________
H1:
____________________________
Second
set: H0:
____________________________
H1:
____________________________
Third Set:
H0: ____________________________
H1:
____________________________
With an alpha = .05 and the following
ANOVA output (corresponding to the previous data abut salaries of
males and females across 3 areas of a company.
Source of Variation
SS
Df
MS
F
P-value
F crit
Area
14070.58
2
7035.292
0.734418
0.49362
3.554557
Gender
62220.17
1
62220.17
6.495194
0.02016
4.413873
Interaction
80147.58
2
6.495194
4.183323
0.032208
3.554557
Error
172429.5
18
9579.417
Total
328867.8
23
Are the salaries in manufacturing, marketing, research &
development the same? ________________________________
Are the salaries of females and males the same?
_______________________________
Is there a significant interaction effect between genders and areas
of the company? _______________________________