Children Watching TV

By calvinw

Some people have been asking me to review how to find areas for normal distributions (from Module 4).  Since the rest of the course uses this heavily it is important we have this down cold. Here is a straightforward normal distribution problem where you have to find several areas by computing z-values and using the table. You should already know how to use the standard normal table (p. 579 in our book) before viewing this:

For these kinds of problems you always want to convert areas under the x-distribution into areas under the standard normal curve and use the table:

.xdistribution_background.jpg

To change the x-values into z-values use the formula

z = \frac{{data - mean}}{{stddev}} = \frac{{x - \mu }}{{\sigma}}

Notice that the mean \mu corresponds to z=0

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