Students calculate percentiles, z-scores, and probabilities using normal distributions.

Students compare the t distribution to the standard normal distribution and use the invT command to find critical values for a t distribution.

Students estimate and find a given area under a normal curve.

Students use four criteria to determine if a data set is normal. They begin by looking at a histogram to determine if it is symmetric and bell-shaped.

Students use the Poisson distribution to determine the probabilities for various numbers of hurricanes hitting the United States in a given year.

Students explore normal distribution and several properties. First, simulate a binomial experiment and use a histogram of the data to examine the general shape of a normal curve. They graph a normal distribution given the mean and standard deviation. They see how the graph changes when just the mean or standard deviation changes. Lastly, they further examine normal distributions, describing the percent of data values falling within different standard deviations from the mean.