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?
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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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
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