Question

A manager wishes to determine whether the mean times required to complete a certain task differ for two levels of employee training. He randomly selected seven employees with each of the two levels of training (Beginner and Advanced). Further, he wants to know if the time (in minutes) is different for males and females. The data is summarized in the table.

 

 

a) What are the Null hypotheses (in symbols and in words)?

b) What are the Research hypotheses (in symbols and in words)

c) Compute the SS_between (for each IV), SS_interaction, SS_within, and SS_total.

d) Construct the source table

e) What are your conclusions based on this data?

Employee
Male
Female
Male
Female
1
20.3
14.3
15.2
19.3
2
19.7
19.5
14.2
18.4
3
27.6
16.5
8.9
18.1
4
25.8
13.8
9.7
15.9
5
26.2
12.4
10.5
17.8
6
20.4
11.8
15.1
17.0
7
24.3
14.2
12.0
16.8
Total
164.3
102.5
85.6
123.3
Mean
23.47
14.64
12.22
17.61
GT
164.3+102.5+85.6+123.3=475.7

Answer 1

A manager wishes to determine whether the mean times required to complete a certain task differ for two levels of employee training. He randomly selected seven employees with each of the two levels of training (Beginner and Advanced). Further, he wants to know if the time (in minutes) is different for males and females.

To test the effect of employee training, calculated F= 18.58, P=0.0002 which is < 0.05 level of significance. Training is significant.

To test the effect of gender calculated F= 3.22, P=0.0854 which is > 0.05 level of significance. Gender is not significant.

Excel Addon Megastat used.

Two factor ANOVA
		Factor 2
	Means:
		Male	Female
	Beginner	23.47	14.64	19.06
Factor 1	Advanced	12.23	17.61	14.92
		17.85	16.13	16.99
	7.0000	replications per cell
ANOVA table
Source	SS	df	MS	F	p-value
Factor 1(Training)	119.729	1.0000	119.7289	18.58	.0002
Factor 2(Gender)	20.743	1.0000	20.7432	3.22	.0854
Interaction	353.580	1.0000	353.5804	54.86	1.20E-07
Error	154.674	24.0000	6.4448
Total	648.727	27.0000

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