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Standard Normal Distribution (z-ditribution) A key tool for calculating proportions and percentages associated with normal distri- butions is the standard normal distribution.
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.
• be able to use tables of the normal distribution to solve problems; • be able to use the normal distribution as an approximation to other distributions in appropriate circumstances.
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.
Worksheet – Normal 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.
Worksheet 3 for Wed., Sept. 16: Normal Distributions. Practice using the standard normal table to find the following. In each case sketch the area that you are looking for under the standard normal curve drawn.
The standard normal distribution is a normal probability distribution with μ = 0 and σ = 1 . Important Notes. The z-score is used on the horizontal axis. The area of the region under the curve is equal to the associated probability of occurrence. Two Ways to Find Area. 1. Use Table A-2. 2. Use Graphing Calculator (TI-84 Plus)
