A variables sampling plan (VSP) for defectives is required for a process with two-sided spec limits USL/LSL = 75±5. The VSP must meet the following conditions ■ Accept 95% of 0.5% defective lots (Hint: What are the AQL and alpha values?) ■Reject 90% of 2% defective lots (Hint: What are the RQL and beta values?) a. Design the VSP assuming that the population standard deviation is known. (Assume σ = 1) b. Design the VSP assuming that the population standard deviation is unknown. c. Should you accept or reject a lot in the σ unknown case if the sample delivers x = 72.0 and s = 1.5? (You don't have the sample data to use the MINITAB menu. You will have to do the calculation by hand.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Question
A variables sampling plan (VSP) for defectives is required for a process with two-sided spec limits
USL/LSL = 75±5. The VSP must meet the following conditions
■ Accept 95% of 0.5% defective lots (Hint: What are the AQL and alpha values?)
■Reject 90% of 2% defective lots (Hint: What are the RQL and beta values?)
a. Design the VSP assuming that the population standard deviation is known. (Assume σ = 1)
b. Design the VSP assuming that the population standard deviation is unknown.
c. Should you accept or reject a lot in the σ unknown case if the sample delivers x = 72.0 and
s = 1.5? (You don't have the sample data to use the MINITAB menu. You will have to do the
calculation by hand.)
Transcribed Image Text:A variables sampling plan (VSP) for defectives is required for a process with two-sided spec limits USL/LSL = 75±5. The VSP must meet the following conditions ■ Accept 95% of 0.5% defective lots (Hint: What are the AQL and alpha values?) ■Reject 90% of 2% defective lots (Hint: What are the RQL and beta values?) a. Design the VSP assuming that the population standard deviation is known. (Assume σ = 1) b. Design the VSP assuming that the population standard deviation is unknown. c. Should you accept or reject a lot in the σ unknown case if the sample delivers x = 72.0 and s = 1.5? (You don't have the sample data to use the MINITAB menu. You will have to do the calculation by hand.)
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