Question

A market research company employs a large number of typists to enter data into a computer database. The time taken for new typists to learn the computer system is known to have a NOrmal distribution with a mean of 130 minutes and a standard deviation of 20 minutes. A candidate is automatically hired if he or she learns the computer system in less than 100 minutes. A cut-off time is set at the slowest 40% of the learning distribution. Anyone slower than this cut-off time is not hired.

h) The proportion of new typists that take under two hours to learn the computer system is.

i) What proportion of candidates will be automatically hired?

j)What is the cut-off time the market research company uses?

I) You sample 30 typists, what is the sampling distribution of the mean time taken for the new typists to learn the computer system?

m) What is the probability that the mean time taken fo the sample of 30 typists to learn the computer system is less than 120 minutes?

Answer 1