STAT 100 Midterm: STAT100 ALL-SECTIONS SPRING1997 0000 MID EXAM 2

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You may use calculators, but not books or notes. Di erent parts of a problem have equal weight unless otherwise indicated. Do not spend too much time on any one problem. 70 inclusive: (3 points) brie y justify your approximation procedure, suppose a population of men has average weight 170 pounds with standard deviation 15 pounds. Estimate the probability that the average weight of a random sample of. 400 men from this population is greater than 171 pounds: a reporter wants to know the average commuting time to work in the metropolitan d. c. area. Suppose the standard deviation of commuting times is known to be 14 minutes. The reporter will collect a random sample of commuting times and wants to be at least 95% sure that the sample mean is within 2 minutes of the actual mean.