Education Technology

Chi-Square Distributions

Activity 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

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    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.

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    Problem 2 gives students the opportunity to explore the critical values for a Chi-Square Distribution. They find the area between the critical values by selecting the Integral tool and then selecting the left and right critical points.

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