Accession Number:

AD0481330

Title:

JOINT DISTRIBUTION OF X(BAR) AND X SUB (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

Descriptive Note:

Master's thesis

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

• Julius, Jerome D.

Report Date:

1964-01-01

Pagination or Media Count:

227.0

Abstract:

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 variance. Tables of standard truncated normal distribution required to compute the tables of the joint distribution of XBar and X sub 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 certain large levels of significance do not exist for tests of hypothesis concerning truncated normal distributions.

Descriptors:

• *SAMPLING
• *STATISTICAL DISTRIBUTIONS
• ANALYSIS OF VARIANCE
• DECISION THEORY
• DIGITAL COMPUTERS
• DISTRIBUTION FUNCTIONS
• ERRORS
• MEASUREMENT
• STANDARDS
• STATISTICAL PROCESSES
• TABLES(DATA)

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE