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Statistics: Chi-Square Distributions
by Texas Instruments #### Overview

Students compare the chi-square distribution to the standard normal distribution and determine how the Chi-Square distribution changes as they increase the degrees of freedom.

#### Key Steps

• In Problem 1, students will explore the characteristics of the Chi-Square Distribution. They will increase the degree of freedom to investigate the effect on the graph. As the degrees of freedom increase the distribution becomes less skewed and more symmetric.

• Problem 2 gives students the opportunity to explore the critical values for a Chi-Square Distribution. They find the critical values using a chart and then confirm the area between the critical values and in each tail using the cumulative Chi-Square command.

• In Problem 3, students construct a confidence interval. They find the standard deviation of the sample using the 1-Var Stats command. Students are to determine if the weights given in the problem are consistent, that is, the differences are acceptable.