attachment_1 - 2023-11-18T024712.668

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Statistics

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Nov 24, 2024

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NOTE: For questions having solution boxes, work needs to be entered in the appropriate box to receive full or partial credit. See graphs-tables-intro.pdf to interpret the phrase Tabular form of chart. 1. From the standpoint of the firm, draw a flowchart of a typical employee firing process that includes how a “paper trail” is built of the employee’s violations of corporate policies, how warnings are administered, and finally how termination is executed. 2. You repeatedly draw size-n samples from a r.v. that has a χ 2 ν distribution where n is pretty big. It is known that this r.v. has a mean of ν and a variance of 2ν. What is the expected value, variance, and approximate distribution of the sample mean? 3. What are “probability limits” for an s chart? When these limits are used with a subgroup size of 5, what probability distribution of (n − 1)S 2 i /σ2 is being assumed? Using either the formulas given in lecture or calculator with inverse CDF functions, compute the .015 and .985 quantiles of this distribution. For an in-control process, what is the chance that the next subgroup’s si value will plot outside of the control limits computed with these . 015 and .985 quantiles?
4. You are a QI specialist for United Airlines at a major airport. The quality metric is the number of lost luggage items (bags) per hour of the day where a day consists of 10 hours. No bags were lost in each of the first five hours, then 2 bags were lost in each of the sixth, seventh, and eighth hours – and then 3 bags were lost in each of the last two hours. Treating this metric as if it were continuously valued, construct an X chart with 2.75σ limits.
5. For an Xbar chart using 3σX¯ limits, find the parameter-change ARL (out-of-control ARL) for a 2.75σX¯ shift in the mean.
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