On Sequential Probability Sampling Plan for a Truncated Life Tests Using Rayleigh Distribution
A. B. Zoramawa *
Department of Statistics, Usmanu Danfodiyo University, Sokoto, Nigeria.
S. U. Gulumbe
Department of Statistics, Usmanu Danfodiyo University, Sokoto, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper proposed a sequential probability sampling plan for a truncated life test using a Rayleigh distribution from a designed double sampling plans where the interest was to obtain the minimum sample size necessary to assure that the average life time of a product is longer than the default life time at the specified consumer’s and producer’s confidence level. Estimations of minimum sample, acceptance and rejection numbers obtained are analyzed and presented to explain the usefulness of sequential plans in relation to single and double sampling plan. Probability of acceptance (Pa), Average sample number (ASN) and Average outgoing quality (AOQ) for the plans are computed. The three regions; acceptance, continue sampling and rejection were determined. The five points necessary to plot ASN curve were also computed and presented.
Keywords: Average Sample Number (ASN), Acceptable Quality Level (AQL), consumer’s risk; producer’s risk, Lot Tolerance Percent Defective (LTPD)