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Binomial Distribution - Admission/Application Essay Example

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You want to develop a plan to monitor the quality of this line. Your idea is to take a sample of 20 parts every hour and determine…
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Binomial distribution: Quality control Binomial distribution: Quality control Question: As a quality engineer working on the Rangdo production line, you have determined that the probability of producing a defective part is 6%. You want to develop a plan to monitor the quality of this line. Your idea is to take a sample of 20 parts every hour and determine the number of defectives. How many defectives do you need to find (or more) in a sample of 20 so that you will shut down the line. You want to be 95% sure that there is a real problem beyond random noise before you shut down the line.
****Use Excel’s binomial function to determine the answer. Provide a one page paper discussing the problem, what you did to solve it and what your specific recommendation or plan is for monitoring quality.
Probability of getting a defective part is 6/100 = 0.06.
Number of samples (n) = 20.
Confidence interval is 95%.

Z 1- α/2 = 1.96 for 95% confidence.
The first step is to determine the probability distribution of the 20 samples using excel.
The probability distribution for 20 samples
The second step is to calculate the 95% confidence interval range
Using the above equation, the 95% confidence level will be
0.06 ± 1.96 √ (
=0.06 ± 0.104
=- 0.044 to 0.164
Third step
Determine which values lie outside the range.
From the table only two values lie outside this range which means 98% lie within the range.
The production should not be stopped because 98% of the products lie within the recommended standards Read More
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