Hanna Jenson recently applied for a position that involves supervising the work

Question

Hanna Jenson recently applied for a position that involves supervising the work activities of a large comprehensive insurance company. She has just received a letter notifying her to report for an interview for this position in four days. The letter indicates Jenson will be required to attend a series of interviews as follows:
9:00 A.M. Rodney Custer, personnel manager
10:00 A.M. Ahmad Syed, department chief
11:00 A.M. Bobbie Kent, medical claims supervisor

If Jenson gets the job, she will receive a substantial raise in salary as well as her first opportunity to gain supervisory experience. Therefore, she wants the job very badly and is concerned about how to prepare for each of the interviews.

Although she has never worked in this particular department, Jenson has worked for the company for several years. She knows Custer and Syed on a casual basis, but she has never met Kent. Custer is 38 years old, meticulous in dress, and obviously very proud of the managerial accomplishments he has made since he became personnel manager two years ago. Jenson's friends in the department believe Custer is sexist and tends to hire men in supervisory positions if possible.

Syed is an elderly rotund gentleman who will be eligible for retirement in two years. He is somewhat unkempt in appearance, but his knowledge of policy and regulations has earned him the respect of managers throughout the company.

Jenson is especially concerned about the interview with Kent. If she gets the job, she will be working directly under Kent, yet she knows nothing about her.

Explanation / Answer

You are trying to estimate the average amount a family spends on food during a year. In the past, the standard deviation of the amount a family has spent on food during a year has been approximately $1200. If you want to be 99% sure that you

have estimated average family food expenditures within $60, how many families do you need to survey?   

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