A Quality Analyst Wants to Construct a Sample Mean Chart

question 41

Essay

A quality analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that the process standard deviation is two ounces.Each day last week,he randomly selected four packages and weighed each.The data from that activity appear below.
(a)Calculate all sample means and the mean of all sample means.
(b)Calculate upper and lower 2-sigma x-bar chart control limits that allow for natural variations.
(c)Based on the x-bar chart,is this process in control?

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Definitions:

Sensitivity Coefficients

Numeric values representing the sensitivity of a dependent variable, or a portfolio's performance, to changes in an independent variable or specific market factor.

Single-Index Structure

A model used in finance to represent the returns of assets as a linear function of a single market index, reflecting the market-wide sources of risk and return.

Forecast

A prediction or estimate of future events, especially concerning weather, economic trends, or financial performances.

Evolution

The gradual development or change of something over time, often used in the context of biological organisms but also applicable to concepts and systems.