The chi-square family of distributions is used in applied statistical analysis because it provides a link between the sample and population variances.

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The chi-square distribution is commonly used in statistical analysis to test hypotheses about population variance or standard deviation based on sample data. It provides a framework for calculating the probability of obtaining a particular sample variance or a more extreme value under the null hypothesis of a specified population variance. This makes it a valuable tool in fields such as quality control, genetics, and social sciences. Therefore, the statement is true.

The Chi-Square Family of Distributions Is Used in Applied Statistical