Assignment #5- stat final

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School

Lambton College *

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Course

2004

Subject

Statistics

Date

Feb 20, 2024

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docx

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13

Uploaded by mannnu123

Faculty of Business, Health & Technology Course Number QEM 2004 Section Number Group 2 Course Title Advanced Statistics Semester/Year 2 nd Sem/2023 Instructor Dr. Mohammed Mehdizadeh ASSIGNMENT No. 5 Assignment Title Acceptance Sampling Submission Date 14/12/2023 Due Date Student Name Student ID Signature* MANPREET SINGH C0895959 MS *By signing above you attest that you have contributed to this submission and confirm that all work you have contributed to this submission is your own work. Any suspicion of copying or plagiarism in this work will result in an investigation of Academic Misconduct and may result in a “0” on the work, an “F” in the course, or possibly more severe penalties. 1
Instructions: - Late submission may result in “0” mark for this assignment. - Submission via email is Not acceptable. - Please write your answers as clean and readable as possible on letter size papers. - Questions should be solved in detail to earn full mark. - Write your name and student ID as clean and readable as possible on the cover page. - Write name of all students in your group and one person per group submit the assignment Problem a) Find a single-sampling plan for which p 1 = 0.01, alpha = 0.03, p 2 = 0.18, and beta = 0.11 and Lot size is 3000. Answer) Measurement type:  Go/no go Lot quality in proportion defective Lot size:  3000 Use binomial distribution to calculate probability of acceptance Method Acceptable Quality Level (AQL) 0.01 Producer’s Risk (α) 0.03     Rejectable Quality Level (RQL or LTPD) 0.18 Consumer’s Risk (β) 0.11 Generated Plan(s) Sample Size 20 Acceptance Number 1 Accept lot if defective items in 20 sampled ≤ 1;  Otherwise reject. Proportion Defective Probability Accepting Probability Rejecting AOQ ATI 0.01 0.983 0.017 0.00977 70.2 0.18 0.102 0.898 0.01821 2696.5 2
Average Outgoing Quality Limit(s) (AOQL) AOQL At Proportion Defective 0.04110 0.07747 3
b) Find a single-sampling plan for which p 1 = 0.01, alpha = 0.05, p 2 = 0.15, and beta = 0.15 Answer) Measurement type:  Go/no go Lot quality in proportion defective Lot size:  3000 Use binomial distribution to calculate probability of acceptance 4
Method Acceptable Quality Level (AQL) 0.01 Producer’s Risk (α) 0.05     Rejectable Quality Level (RQL or LTPD) 0.15 Consumer’s Risk (β) 0.15 Generated Plan(s) Sample Size 22 Acceptance Number 1 Accept lot if defective items in 22 sampled ≤ 1;  Otherwise reject. Proportion Defective Probability Accepting Probability Rejecting AOQ ATI 0.01 0.980 0.020 0.00973 82.2 0.15 0.137 0.863 0.02036 2592.8 Average Outgoing Quality Limit(s) (AOQL) AOQL At Proportion Defective 0.03739 0.07069 5
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