Outline of Chapter 6 text - Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003)

Chapter 6 Outline Identify distributions as symmetrical or skewed. Identify the properties of the normal distribution. Find the area under the standard normal distribution, given various z values. Find the probabilities for a normally distributed variable by transforming it into a standard normal variable. Find specific data values for given percentages using the standard normal distribution. Use the central limit theorem to solve problems involving sample means for large samples. Use the normal approximation to compute …

…will be approximately normal. Summary (cont'd.) The normal distribution can be used to approximate other distributions, such as the binomial distribution. For the normal distribution to be used as an approximation to the binomial distribution, the conditions np " 5 and nq " 5 must be met. A correction for continuity may be used for more accurate results. Conclusions The normal distribution can be used to approximate other distributions to simplify the data analysis for a variety of applications.