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A Precision Control Engineer Is Interested in the Mean Length α\alpha

question 107

Essay

A precision control engineer is interested in the mean length of tubing being cut automatically by machine.It is known that the standard deviation in the cutting length is 0.15 feet.A sample of 60 cut tubes yields a mean length of 12.15 feet.This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.
a.What is the z α\alpha / 2 value to use in obtaining the confidence interval?
b.Develop the 99% confidence interval for μ\mu .


Definitions:

Break-Even Units

The quantity of products a company must sell to cover its production costs, with no profit or loss.

Units Sold

The total quantity of a product that has been sold during a particular period, a key measure of business performance.

Absorption Costing

An accounting method that includes all the costs associated with manufacturing a product, including direct, indirect, fixed, and variable costs.

Break-Even Point

The financial point at which total revenues equal total costs, resulting in no net profit or loss.

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