09. Random samples of employees from three different departments of MNM Corporat
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Question
09. Random samples of employees from three different departments of MNM Corporation showed the followi OUTPUT of yearly incomes (in $1,000). Anova: Single Factor SUMMARY Groups Count Sum Average Variance Department A Department B Department C ANOVA 39 41 43 8.4 18.8 12.8 234 6 246 6 258 F P-value F crit Source of Variation Between Groups Within Groups Ss df M t* 6* e * ea 4 a t * 248 17 Total At ? 0 , test to determine if there is a significant difference among the average incomes of the employees from the three departments. Use both the critical and p-value approaches.Explanation / Answer
H0 : means of 3 groups are not different.
H1 : means of 3 groups are different.
The following table contains summary of given information
P value method
P value = 0.199 > 0.05
Do not reject H0 at 5%
Conclude that means of 3 groups are not different.
Critical value method
In this case
F critical = 3.682 on (2, 15) degrees of freedom at 5% level.
Now
F = 1.88 < f critical = 3.682
Do not reject H0
Conclusion will remain same.
Source of variation SS df MS F p valu F critical Between 48 2 24 1.88 0.1990 3.682 With in 240 15 13.334 Total 248 17Related Questions
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