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 contingency

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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 contingency table. The employees were classified according to their age and department.
Expected counts are printed below observed counts
                         Sales      Accounts       Marketing       Repairs           Total
 20-29                 8                  10                   27                  43                  88
                         17.74             ***                  26.20             23.62
 30-39                 29                26                     38                  22                  *
                          23.18          26.72                34.24            30.86
 40-49                  33               32                     72                 82               219
                         44.15             50.88              65.20             58.77
 50-59                 81                 106                  86                54                 327
                          65.92            75.97                97.36          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 less than 5.


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.

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman