1. Vince Yosarian works for the Bureau of Forms. His manager has reprimanded Vince
because she feels that he has not performed upto standard for processing forms at the
bureau, the crucial part of the job. At the bureau, the number of forms processed by
employees is normally distributed, with a mean of 67 forms per employee per day and a
standard deviation of 7. His manager has calculated that Vince's average rate is 50 forms
processed per day. What percentage of employees at the bureau process fewer forms than
Vince? What percentage of employees at the bureau process more forms than Vince?
Does the manager's complaint seem justified or not?
2. According to records kept by Mariposa County, the average (mean) amount of time that it
takes for employees to be reimbursed for professional expenses incurred in service to the
county is 36 days, with a standard deviation of 5 days. The distribution is normal. About
2 months ago, Latisha MacNeil attended a training conference for her job in the County
Recreation Department. She filed for reimbursement of expenses that she incurred at the
conference 42 days ago, but she has not received payment. What is the probability of
receiving reimbursement within 42 days of filing? After 42 days? At this point, should
Ms. MacNeil be apprehensive about receiving reimbursement?
3. George Fastrack, head of the Bureau of Obfuscation's United Way drive, wants to know
the average United Way pledge among Obfuscation Bureau employees (pledges are
normally distributed). George takes a sample of 10 and gets the results shown in the
accompanying table. What is George's best estimate of the mean donation? What is
George's best estimate of the standard deviation of the donations? Between what two
values can George be 95% sure the mean value lies?
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