Random samples of employees from three different departments of MNM Corporation
ID: 2906631 • Letter: R
Question
Random samples of employees from three different departments of MNM Corporation showed the following yearly incomes (in $1,000).
Department A
Department B
Department C
40
46
46
37
41
40
43
43
41
41
33
48
35
41
39
38
42
44
Anova: Single factor
SUMMARY
Groups
Count
Sum
Average
Variance
Department A
6
234
39
8.4
Department B
6
246
41
18.8
Department C
6
258
43
12.8
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
48
2
24
1.8
0.20
3.68
Within Groups
200
15
13.33
Total
248
17
a.State the null and alternative hypotheses.
b.What is the test statistic from the ANOVA table?
c.With ? = 0.05, what is the critical value?
d.At ? = .05, test to determine if there is a significant difference among the average incomes of the employees from the three departments. Use the critical value approach. Write out the decision rule.
Department A
Department B
Department C
40
46
46
37
41
40
43
43
41
41
33
48
35
41
39
38
42
44
Explanation / Answer
a)null hypothesis:Ho: average incomes of the employees from the three departments are equal.
alternate hypotheiss: Ha: not all three departments have equal average incomes of the employees
b)
test statistic from ANOVA table F =1.8
c)
critical value F=3.68
d)
deicision rule:reject Ho if test statistic F >3.68
as test statistic is not in critical region we can nnot reject null hypothesis
we do not have suffcient evidence to conclude that there is a significant difference among the average incomes of the employees from the three departments.
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