A Recruitment Agency Provides a Study of the Average Amount

Multiple Choice

A recruitment agency provides a study of the average amount of time people work in IT companies. Four companies were considered for the study: big old company A, big new company B, small old company C and small new company D. In this study, a company is considered as new if it has been founded less than 20 years ago and considered as old if has been founded more than 50 years; small company has about 200 employees and big company has more than 1,000 employees. Is it correct to conduct an F-test for these four companies? Choose the correct statement.

A) For new companies, distribution of the amount of time people workthere is not normal because the population is very small.We cannot use F-test.
B) If you generate the random sample of equal size for each company, then all conditions for applying the F-test will be met.We can use F-test.
C) For new companies, distribution of the amount of time people work there is limited by the age of the company and therefore certainly has smaller standard deviation.We cannot use F-test.
D) Big companies will have large samples and therefore the samples will be dependent.We cannot use F-test.