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Title: Tables for a statistical quality control test (English)
Author: Rublík, František
Author: Bognárová, Marta
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 37
Issue: 6
Year: 1992
Pages: 459-468
Summary lang: English
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Category: math
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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. (English)
Keyword: two-sided quality control
Keyword: normal distribution
Keyword: small sample sizes
Keyword: hypothesis testing
Keyword: tolerance limits
MSC: 62F03
MSC: 62N10
MSC: 62P30
MSC: 62Q05
idZBL: Zbl 0783.62080
idMR: MR1185801
DOI: 10.21136/AM.1992.104524
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Date available: 2008-05-20T18:44:33Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/104524
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Reference: [1] N. Johnson, F. Leone: Statistics and Experimental Design.Wiley, New York, 1977. Zbl 0397.62001
Reference: [2] J. Likeš, J. Laga: Fundamental Statistical Tables.SNTL, Prague, 1978. (In Czech.)
Reference: [3] F. Rublík: On the two-sided quality control.Aplikace matematiky 27 (1982), 87-95. MR 0651047
Reference: [4] F. Rublík: Correction to the paper "On the two-sided quality control".Aplikace matematiky 34 (1989), 425-427. MR 1026506
Reference: [5] F. Rublík: On testing hypotheses approximable by cones.Math. Slovaca 39 (1989), 199-213. MR 1018261
Reference: [6] F. Rublík: Testing a tolerance hypothesis by means of an information distance.Aplikace matematiky 35 (1990), 458-470. MR 1089926
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