The 70 highest dams in the world have an average height of 206 meters with a standard deviation of 35 meters. the hoover and grand coulee dams have heights of 221 and 168 meters, respectively. the russian dams, the nurek and charvak, have heights with z-scores of +2.69 and – 1.13, respectively. list the dams in order of ascending size.
Given: μ = 206 m, the mean σ = 35 m, the standard deviation.
By definition, the z-score for the random variable ,x, is z = (x - μ)/σ Therefore, x = μ + σz
The heights of the given dams are Hoover: x = 221 m Grand Coulee: x = 168 m Nurek: z = 2.69 x = 206 + 35*2.69 = 300.15 m Hoover: z = -1.13 x = 206 - 35*1.13 = 166.45 m
Answer: In ascending order of x, the dams are Charvak Grand Coulee Hoover Nurek
