## In a 2003 study, the Accreditation Council for Graduate Medical Education found that medical residents’ mean number of hours worked in a week is μ = 81 hours.

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1. In a 2003 study, the Accreditation Council for Graduate Medical Education found that medical residents’ mean number of hours worked in a week is μ = 81 hours. Suppose the number of hours per week by medical residents is approximately normally distributed with a standard deviation of σ = 6.9 hours. What is the probability that a randomly selected medical resident works less than 70 hours in a week? What is the probability that a randomly selected medical resident works more than 100 hours in a week?

2. The Wechsler Intelligence Scale for Children is approximately normally distributed with a mean µ = 100 and a standard deviation σ = 15. What proportion of children will score above 125? What proportion of children will score below 90? What intelligence score will place a child in the top 5% of all children? 3. The average male in an industrialized country lives µ = 70 and σ = 6.

3. Use this information to answer the following 4 questions. What percentage of males lives longer than 75 years? What percentage of males lives between 65 and 75 years? What percentage of males lives less than 65 years? What percentage of males lives between 55 and 60 years?