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A Quality Analyst Wants to Construct a Sample Mean Chart

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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 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? (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?


Definitions:

Mean

The arithmetic average of a set of values or a distribution, calculated by summing all the values and dividing by the number of values.

Organization-Level Incentive

A reward or bonus system designed to encourage and reward collective achievements of all members within an organization, aiming to drive overall organizational performance.

Profit Sharing

A company policy where employees receive a share of the company's profits beyond their regular pay, serving as an incentive and reward.

Gainsharing

A type of incentive plan where employees receive bonuses based on the cost-saving or performance improvements they help achieve for the company.

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