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  1. Standard Normal Distribution (z-ditribution) A key tool for calculating proportions and percentages associated with normal distri- butions is the standard normal distribution.

  2. WorksheetNormal Distributions. 1. For each problem below draw a picture of the normal curve and shade the area you have to find. Let Z represent a variable following a standard normal distribution. (a) Find the proportion that is less than z=2.00. (b) Find the proportion that is between z = −.13 and z = 1.75.

  3. Normal Distributions Worksheet (12-7) A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find each value, given its distance from the mean.

  4. Normal Distributions Worksheet (12-7 A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed Find each value, given its distance from the mean. 1. +1 standard deviation from the mean 3. -1 standard deviation from the mean Sketch a normal curve for each distribution. standard deviations from the mean.

  5. Standard Normal Distribution Tables STANDARD NORMAL DISTRIBUTION: Table Values Re resent AREA to the LEFT of the Z score. -3.9 -3.8 -3.6 -3.5

  6. THE STANDARD NORMAL CURVE Worksheet. For each of the problems below, be sure to SKETCH the standard normal curve and SHADE IN the area you are being asked to find. See the following example: Find the area under the standard normal curve that lies between z = -1.65 and z = 1.65.

  7. Normal Distributions Worksheet (12-7) A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find each value, given its distance from the mean. 1. +1 standard deviation from the mean 2. +3 standard deviations from the mean. 3. –1 standard deviation from the mean.

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