Given the following summary table for a one-way ANOVA: Sum of (a) Degrees of Freedom 4 Source of Mean F Variation Treatments Squares 665.0 Square C E Error A 60 D Total 3736.3 B (Give your answers to 3 decimal places) (i) Fill in the missing items (indicated by A, B, C, D and E). (ii) Define the null and alternative hypotheses. (ii) Based on the above table, draw your conclusion at 0.05 level of significance.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(a)
Given the following summary table for a one-way ANOVA:
Sum of
Source of
Degrees of
Freedom
4
Mean
F
Variation
Treatments
Squares
665.0
Square
C
E
Error
A
60
D
Total
3736.3
B
(Give your answers to 3 decimal places)
(i)
Fill in the missing items (indicated by A, B, C, D and E).
(ii)
Define the null and alternative hypotheses.
(iii) Based on the above table, draw your conclusion at 0.05 level of significance.
(b)
A company wants to compare the monthly salary of employees (in 000) of those who
have actuarial background from the following three different departments:
Product
Claims
Sales
Development
9.7
8.2
12.0
10.0
13.1
7.2
10.2
11.0
8.0
13.7
7.5
9.4
14.0
13.3
11.3
7.8
12.5
9.0
12.7
8.8
11.5
10.9
12.9
8.5
7.9
10.5
At the 0.01 level of significance, test the difference in salary of employees using
Kruskal-Wallis analysis.
Transcribed Image Text:(a) Given the following summary table for a one-way ANOVA: Sum of Source of Degrees of Freedom 4 Mean F Variation Treatments Squares 665.0 Square C E Error A 60 D Total 3736.3 B (Give your answers to 3 decimal places) (i) Fill in the missing items (indicated by A, B, C, D and E). (ii) Define the null and alternative hypotheses. (iii) Based on the above table, draw your conclusion at 0.05 level of significance. (b) A company wants to compare the monthly salary of employees (in 000) of those who have actuarial background from the following three different departments: Product Claims Sales Development 9.7 8.2 12.0 10.0 13.1 7.2 10.2 11.0 8.0 13.7 7.5 9.4 14.0 13.3 11.3 7.8 12.5 9.0 12.7 8.8 11.5 10.9 12.9 8.5 7.9 10.5 At the 0.01 level of significance, test the difference in salary of employees using Kruskal-Wallis analysis.
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