a) Name the random variables present in the table above. b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table. c) Fill in the gaps marked by ***, ****, *****, ******, ****** and
a) Name the random variables present in the table above. b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table. c) Fill in the gaps marked by ***, ****, *****, ******, ****** and
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![a) Name the random variables present in the table above.
b) Carefully define the null and alternative hypotheses of the Chi Square test
underlying the generation of the above table.
c) Fill in the gaps marked by **, **, ***, ***** , ****** and ******* [8]
Page 25 of 37
Course Name and Code – Course Information. Academic Year 2021/2022, Somester I
d) What is the assumption on which these calculations are based?
e) What is relevance of the statement" No cells with expected counts less than 5."
f) Do the records suggest a relationship or independence between age and
department for the employees of this car dealership at the 5% significance level?
Give reason(s) for your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F178d2fc8-ed91-4adf-95ed-ceaa7e750eeb%2F60c17d66-ad80-4a1e-964f-e2c01f544a84%2Fnrqaxr_processed.png&w=3840&q=75)
Transcribed Image Text:a) Name the random variables present in the table above.
b) Carefully define the null and alternative hypotheses of the Chi Square test
underlying the generation of the above table.
c) Fill in the gaps marked by **, **, ***, ***** , ****** and ******* [8]
Page 25 of 37
Course Name and Code – Course Information. Academic Year 2021/2022, Somester I
d) What is the assumption on which these calculations are based?
e) What is relevance of the statement" No cells with expected counts less than 5."
f) Do the records suggest a relationship or independence between age and
department for the employees of this car dealership at the 5% significance level?
Give reason(s) for your answer.
Transcribed Image Text:The human resource manager at a car dealership wants to know if the ages of its employees are
related to the department that they work in. Data was compiled and tabulated in a 2-way
contingeney table. The employces were classified according to their age and department.,
Expected counts are printed below observed counta
Sales Accounts Marketing Repaira Total
20-29
10
27
43
88
17.74
26.20
***
23.62
30-39
29
23.18
26
26.72
38
34.24
22
30.86
40-49
33
44.15
32
50.88
72
65.20
82
58.77
219
50-59
81
65.92
106
75.97
86
97.36
54
327
87.75
Total
151
**
223
201
749
Chi-Sq
5.348 + *** + 0.024 + 15.912 +
1.459 +0.019 +0.413 + 2.544 +
2.816 + 7.003 + 0.709 + 9.182 +
3.448 + 11.875 + 1.325 + 12.983 - 80.395
DF *****, P-Value =
No cells with expected counts leas than 5.
******
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