A market research company employs a large number of typists to enter data into acomputer database. The time it takes for potential newtypists to learn the computersystem is known to have a Normal distribution with a mean of 90 minutes and astandard deviation of 18 minutes. A candidate is automatically hired if she learnsthe computer system in less than 100 minutes. A cut-off time is set at the slowest10% of the learning distribution. Anyone slower than this cut-off time is definitelynot hired.(a) What proportion of candidates takes more than two hours to learn the computersystem?(b) What proportion of candidates will be hired automatically?(c) What is the cut-off time the market research company uses?Notes: This problem tests• Normal distributions; Standardizing observations• Using the standard Normal Table• Inverse Normal calculations
A market research company employs a large number of typists to enter data into a
computer database. The time it takes for potential newtypists to learn the computer
system is known to have a
standard deviation of 18 minutes. A candidate is automatically hired if she learns
the computer system in less than 100 minutes. A cut-off time is set at the slowest
10% of the learning distribution. Anyone slower than this cut-off time is definitely
not hired.
(a) What proportion of candidates takes more than two hours to learn the computer
system?
(b) What proportion of candidates will be hired automatically?
(c) What is the cut-off time the market research company uses?
Notes: This problem tests
• Normal distributions; Standardizing observations
• Using the standard Normal Table
• Inverse Normal calculations
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