Clearly it does. Naming a few tall people won't change a thing about it.
To find the percentage of American women that are taller than 58.5 inches but shorter than 68.5 inches, we will use the properties of a normal distribution. First, we need to calculate the z-scores for the given heights: \(z_1 = \frac{58.5 - 63.5}{2.5} = -2\), \(z_2 = \frac{68.5 - 63.5}{2.5} = 2\). Next, we find the area under the standard normal curve between these two z-scores using a standard normal distribution table or a calculator: \(P(-2 < Z < 2) = P(Z < 2) - P(Z < -2)\). From the standard normal distribution table, we find: \(P(Z < 2) = 0.9772\), \(P(Z < -2) = 0.0228\). Therefore, \(P(-2 < Z < 2) = 0.9772 - 0.0228 = 0.9544\).
So, approximately 95.44% of American women are taller than 58.5 inches but shorter than 68.5 inches.
That result provides zero valuable insight.
Except the fact that Zegler is slightly below 58.5 inches and so is essentially Gimli.
Thank you, dw.