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?