A business consultant wanted to investigate if providing daycare facilities on a company’s premises reduces the absentee rateof parents working for the company. The consultant took a sample of52 parents not working for companies providing on site daycare.These parents missed an average of 8.2 days of work last year.Another sample of 46 parents working for companies providing onsite daycare showed an average 6.5 missed days of work last year.Assume that the standard deviation for the two populations are 1.75days and 1.3 days respectively.
a) Construct a 94% confidence interval for the differencebetween the population means. Interpret your confidence interval inthe context of the question.
b) Using a 2.5% level of significance, can you conclude that themean number of days missed per year by parents not working for thecompanies providing on site daycare is greater than the number ofdays missed per year by parents working for companies that doprovide on site daycare? Conduct a hypoth- esis test and write aconclusion in the context of the question.
