Consider a normal distribution curve where the middle 70 % of the area under the curve lies above the interval (7, 13). Use this information to find the mean, μ, and the standard deviation, σ, of the distribution. a) μ = b) σ =

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.                         102 126         A symmetric bell-shaped curve is plotted over a horizontal scale. Two vertical lines run from the scale to the curve at labeled coordinates 102 and 126, which are both to the right of the curve’s center and peak. The area under the curve between the vertical lines is shaded.       The area of the shaded region is enter your response here. ​(Round to four decimal places as​ needed.)

A normal distribution of scores has a standard deviation of 10 and a mean of 0. Find the z-scores corresponding to each of the following values: a) A score that is 20 points above the mean. b) A score that is 10 points below the mean. c) A score that is 15 points above the mean d) A score that is 30 points below the mean.   IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. Convert Einstein’s IQ score to a z score.

Calculate the coefficient of variation of a distribution with: 2*f = 110 and *² · f = 1235 n = 10, %3D %3D 1.596 75.496 15.2% 25.3%

sketch a standard normal curve and shade the area of interest for each problem: 1. Find the area under the standard normal curve that lies to the right of -1.07 0.6 0 4.2