Find the critical value and rejection region for the type of chi-square test wit

Question

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance alpha. Right-tailed test n = 20, alpha = 0.01 Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance alpha. Two-tailed test, n = 12, alpha = 0.05 Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected. When 12 bolts are tested for hardness, their indexes have a standard deviation of 41.7. Test the claim that the standard deviation of the hardness indexes for all such bolts is greater than 30.0. Use a 0.025 level of significance.

Explanation / Answer

critical Chi-square (2) value associated with a given (right-tail) probability level and the degrees of freedom.Chi-square (2) value:36.19086913

Two-tailed test,
n=12, a(alpha)=0.05
---------------------------3.816 21.920
You need a Chi-Sq Chart--- your text might have one
or you might find one online.
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Since n = 12, the # of degrees of freedom is 11
Look for that on your chart.
A 2-tail test with alpha = 5% has a left tail of 0.025
and a right tail of 0.975
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The rejection regions on the chart are
lower:: Chi-Sq < 3.816
upper:: Chi-sq > 21.920
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