Answered: What is the probability that the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4AGP

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Question

Acceptance sampling is an important quality control technique, where a batch of data is tested to determine if the proportion of units having a particular attribute exceeds a given percentage. Suppose that 11% of produced items are known to be nonconforming. Every week a batch of items is evaluated and the production machines are adjusted if the proportion of nonconforming items exceeds 16%. SHOW YOUR WORK! a. What is the probability that the production machines will be adjusted if the batch consists of 70 items? b. What is the probability that the production machines will be adjusted if the batch consists of 100 items? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.)

Expert Solution

Step 1

Acceptance sampling is an important quality control technique, where a batch of data is tested to determine if the proportion of units having a particular attribute exceeds a given percentage.

Suppose that 11% of produced items are known to be nonconforming.

Every week a batch of items is evaluated and the production machines are adjusted if the proportion of nonconforming items exceeds 16%.

here use normal distribution of proportion because in both part sample size large enough