Three training methods were compared to see whether they led to greater productivity after training. The following are productivity measures for individuals trained by each method.
Method 1 45 40 50 39 53 44
Method 2 59 43 47 51 39 49
Method 3 41 37 43 40 52 37
At the 0.05% level of significance, do the three training methods lead to different levels of productivity?
Answers
Answer:
Three training methods were compared to see whether they led to greater productivity after Training.
The following are productivity measures for individuals trained by each method.
Method 1 45 40 50 39 53 44
Method 2 59 43 47 51 39 49
Method 3 41 37 43 40 52 37
The ANOVA Table is given below:
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 120.7778 ----- ----- ----- 0.222382 3.68232
Within Groups ----- ----- -----
Total 664.9444 -----
) State the null hypothesis
B) State the alternative hypothesis
C) Fill in the ANOVA Table
D) Conclude on the results
Answer:
Productivity after training from three methods=664.944
Explanation:
Group 1
Number of members=6
sum=271
Average=45.1667
variance=30.1667
Group 2
Number of members=6
sum=288
Average=48
variance=47.6
Group 3
Number of members=6
sum=250
Average=41.1667
variance=31.0667
Source of variation
Between the groups
ss=120.778
df=2
MS=60.3889
F=1.66462
p-value=o.22238
F crit=3.68232
Within groups=544.167
df=15
MS=36.2778
Total value of ss=664.944
Total value of df=17
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