# Article

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Keywords:
two-sided quality control; normal distribution; small sample sizes; hypothesis testing; tolerance limits
Summary:
Critical constants for a test of the hypothesis that the mean $\mu$ and the standard deviation $\sigma$ of the normal $N(\mu,\sigma^2)$ population satisfy the constrains $\mu + c\sigma \leq M$, $\mu - c\sigma \geq m$, are presented. In this setup $m < M$ are prescribed tolerance limits and $c > 0$ in a chosen constant.
References:
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