Q1. Random samples of 200 men, all retired were classified according to education and number of children is as shown below
                             Number of children        
 Education level             0-1                      2-3            Over 3
   Elementary                14                       37                32
Secondary and above     31                       59                27

Test the hypothesis that the size of the family is independent of the level of education attained by fathers. (Use 5% level of significance)


Q2. Random sample of 180 staff from the whole workforce of the supermarket chain.

                            Male                  Female

Supervisor                20                    15
Shelf stacker            20                     30
Till operator             10                      35
Cleaner                    10                     40

Test for association between a member of staff's job and his/her gender at the 5% significance level.

Q3. One important factor in selecting software for word processing and database management systems is the time required to learn how to use a particular system. In order to evaluate three database manage­ment systems, a firm devised a test to see how many training hours were needed for five of its word processing operators to become proficient in each of three systems.

System A 16 19 14 13 18 hours
System B 16 17 13 12 17 hours
System C 24 22 19 18 22 hours

Using a 5% significance level, is there any difference between the training time needed for the three systems?