Joint distribution of X and X(n) for a random sample from the standard normal distribution with applications to a variables sampling inspection procedure which guarantees acceptance of perfectly screened lots.
Loading...
Authors
Julius, Jerome D.
Subjects
Advisors
Woods, W.M.
Date of Issue
1964
Date
1964
Publisher
Monterey, California: U.S. Naval Postgraduate School
Language
en_US
Abstract
In this paper, tables of the joint distribution of the sample
mean and the largest observation in a sample for a random sample from
the standard normal distribution are presented for a variables sampling
inspection procedure which guarantees acceptance of perfectly screened
lots. The quality of each item in the lot is described by a single
quality characteristic. It is assumed that this quality characteristic
has a normal density function with known variances Tables of standard
truncated normal distribution required to compute the tables of the
joint distribution of X and X(n). are also presented.
The two sets of tables are also used to show how operating characteristic
curves may be computed. Sample size is shown to affect the
existence of levels of significance. For small sample sizes (a < 10),
certain large levels of significance do not exist for tests of hypothesis
concerning truncated normal distributions.
Type
Thesis
Description
Series/Report No
Department
Operations Research
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.