The Human Rights Commission of Malaysia (SUHAKAM), collected the worker's absenteeism date (in hours per year) at Factory A and Factory B to records the exact number of hours the workers have been absent during the past year. The date was obtained by randomly selecting a sample of 50 workers from Factory A with mean of 20 and standard deviation 4 and 60 workers from Factory A with mean of 28 and standard deviation 6. Assuming that the population are normally distributed and the population variances are assumed equal, determine whether absenteeism for factory A is less than factory B at 10% significance level?

(10 marks)