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Quality Associates

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Introduction

“Quality Associates, Incorporated (QAI) was established in 1986 to provide quality assurance and regulatory services to the pharmaceutical and agrochemical industries. A corollary service offering was the archiving of scientific records, so it was not long before QAI developed strong capabilities in electronic document management.
Today QAI maintains a broad client base that includes federal and state agencies, chemical and manufacturing companies, financial and accounting firms, law firms, and medical and research facilities.
Currently, QAI provides services in these areas: Information Services, Quality Assurance & Scientific Support, and Archiving.” (Quality Associates Incorporated)

They advise their clients about sampling and statistical procedures that can be used to control their manufacturing processes. The data required for the study giving to QA from the client, a sample of 800 observations taken during a time in which that client’s process was operating satisfactorily. The sample standard deviation was 0.21 and population standard deviation was assumed to be 0.21. QA suggested taking random samples of size 30 occasionally to monitor the process on an ongoing basis. The client could quickly learn whether the process was operation reasonably and if not, corrective action could be taken to remove the problem. The design specification indicated the mean for the process should be 12. The hypothesis test suggested by Quality Associates follows.
H0: u = 12
H1: u ≠ 12
Corrective action will be taken any time H0 is rejected. Conducting the hypothesis test for each sample

The population of interest is 800 and each of four samples, each of size 30, collected at hourly intervals during the first day of operation of the new statistical control procedure.
The two tables below shows the output of one-sample statistics test that shows the

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