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Tailors' Seam Measurements: Precision and Accuracy Analysis

Chapter 1, Problem 1.38

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QUESTION:

Three apprentice tailors (\(X\), \(Y\), and \(Z\)) are assigned the task of measuring the seam of a pair of trousers. Each one makes three measurements. The results in inches are \(X\) (31.5, 31.6, 31.4); \(Y\) (32.8, 32.3, 32.7); \(Z\) (31.9, 32.2, 32.1). The true length is 32.0 in. Comment on the precision and the accuracy of each tailor’s measurements.

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Tailors' Seam Measurements: Precision and Accuracy Analysis
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An in-depth analysis of the precision and accuracy in seam measurements by three apprentice tailors: X, Y, and Z, as they measure a pair of trousers. Understand how their measurements compare to the true length of 32.0 inches.

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QUESTION:

Three apprentice tailors (\(X\), \(Y\), and \(Z\)) are assigned the task of measuring the seam of a pair of trousers. Each one makes three measurements. The results in inches are \(X\) (31.5, 31.6, 31.4); \(Y\) (32.8, 32.3, 32.7); \(Z\) (31.9, 32.2, 32.1). The true length is 32.0 in. Comment on the precision and the accuracy of each tailor’s measurements.

ANSWER:

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Here we will have to comment on the precision and the accuracy of each tailor's measurements.

Given:

The measurements of the trousers made by tailors X, Y and Z in inches are given below, all have taken three measurements.

X (31.5, 31.6,31.4)

Y (32.8, 32.3, 32.7)

Z (31.9, 32.2, 32.1)

The true length is 32.0 inch.

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