Answered: The U.S. Department of Defence Pentagon…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 4CYU

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The U.S. Department of Defence Pentagon structure contains a total of 691water fountains! Let's say that you are on a tour of the Pentagon and you happen to know that each fountain was recently tested for lead content in the water provided by the fountain and the average lead content for all 691 fountains was found to be 12 ppb with a standard deviation of 3.2 ppb. You are concerned that it would be unsafe to drink water with a lead level of 20 ppb or higher. If you stop and drink at a randomly chosen fountain, what is the probability that the water it dispenses has 20 ppb or higher lead content (assuming the lead contents of the fountains are normally distributed)?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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