Cross Lines Group (CLG) has two factories in different parts of the country.
Their resources, including the labour force skills are regarded as identical and
both factories were built at the same time.
A random sample of output data during a given period has been taken from
each factory and converted to standard hours of output per employee. The
data are given below:
Factory 1 42 50 43 39 41 49 52 41 46 48
Factory 2 39 45 36 42 52 37 43 41 40 39
You are given that for factor 1 mean = 45.1 and variance = 20.10 and that for
factory 2 mean = 41.4 and variance = 21.16.
Required:
(i) Test the hypothesis that the mean standard hours for employees in the
two factories is the same. (7 marks)
(ii) Comment briefly on the conditions of the test and interpret the
outcome.
(3 marks)