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IESN 314_Lab_April5

# IESN 314_Lab_April5 - calculated x-bar value and comparing...

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IESN 314 Lab Exercise Week of March 29-April 2 Due: Week of April 5 An automatic n/c lathe is feeding a paced production line at a rate of 100 pieces per hour. Management is concerned about over production (causes excess inventory) and underproduction ( failure to satisfy demand). The variance of feed is known to be 16 pieces per hour. The production feed is regularly checked for consistency, and adjusted if necessary. (1) Develop an inspection procedure which is based upon a sample of size n=4 with the variance known to be 16. Begin by structuring an appropriate null hypothesis. Use a probability of Type I Error = α =0.05. The procedure should specify two ways to check feed. The first would be to compare a sample x-bar value to a set of critical x-bar values based upon the inspection criteria. The second would be to compare a calculated “z” vale using the

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Unformatted text preview: calculated x-bar value and comparing to a set of critical “z” values. (2) Suppose the mean feed rate suddenly shifts to a value of μ =105. What is the probability of making a “Type II” error ? (3) Draw the “O-C Curve” for a range of μ values between 92 and 108 in unit increments. (4) Repeat Parts (1)-(3) using α = 0.10. Discuss and compare these two sets of results. (5) There are two parameters that directly impact this sort of hypothesis test…One is α and the other is the sample size , n. Suppose that n is increased to 100 in parts (1) and (2). What impact does this have on your inspection decision rules. What can you infer about the relationship between the magnitude of the Type I error ( α ), the Type II error ( β ) and the sample size, n....
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• Spring '10
• M
• Probability theory, Type I and type II errors, calculated x-bar value, critical x-bar values, sample x-bar value, paced production line

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IESN 314_Lab_April5 - calculated x-bar value and comparing...

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