Using a χ² test statistic to test the null hypothesis that the variance of a new process is equal to the variance of the current process and rejecting at a p-value less than α,we can conclude that the new process is more consistent than the current process.

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The chi-square test statistic is used to test the null hypothesis that the variance of two populations are equal. If the p-value is less than alpha, we reject the null hypothesis and conclude that the variances are not equal. In this case, we can conclude that the new process is more consistent than the current process because a smaller variance indicates a more consistent process.

Using a χ2 Test Statistic to Test the Null Hypothesis

Using a χ² Test Statistic to Test the Null Hypothesis