Statistics
Activity:
Chi-Squared Distribution
Posted on Feb 4, 2010
Topic: Continuous Distributions
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.
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Activity 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 affect 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 area between the critical values by selecting the curve then the left and right critical points. They can confirm the critical values using the Calculator application and finding the inverse of chi-squared.
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.
In Problem 4, students work through practice questions that model real world applications so students can further investigate confidence intervals and critical values. At the end of this activity, students be able to graph the probability density function of the Chi-Squared distribution of n degrees of freedom