The human resource manager at a car dealership wants to know if the ages of its employees related to the department that they work. Data compiled and tabulated in a 2way contingency table. The...

The human resource manager at a car dealership wants to know if the ages of its employees related to the department that they work. Data compiled and tabulated in a 2way contingency table. The employees were classified according to their age and department.

TOTAL                    SALES       ACCOUNTS        MARKETING      REPAIRS

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.

1. a) Name the random variables present in the table above.


2. b) Carefully define the null and alternative hypothesis of the chi square test underlying the generations above the table


3. c) Fill in the gaps marked by *, **, ***, ****, ***** and ******.


4. d) What is the assumption on which these calculations are based?


5. e) What is the relevance of the statement” No cells with expected counts less than 5”


6. 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 reasons for your answer.