Statistics
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Is It Standard?
Posted on May 6, 2010
Topic: Statistical Inference
Students test a claim about the standard deviation by comparing the χ2 value to the critical value.
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Activity Key Steps:
After a review of the Chi-square distribution and the formula used to calculate a chi-square value, students are led through an example, step-by-step, to test a claim about standard deviation.
Students will determine the null and alternative hypothesis, calculate the chi-square value and critical value, and graph the chi-square distribution to see the critical region.
Self-check questions are used to allow students to evaluate their progress and understanding of the steps of the problem.
Two homework problems will allow students to practice the method they used in the activity to test claims made about standard deviations. The problems include a two-tailed test and a left-tailed test.