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Question 1 (10 marks) The following experiment was designed to find out to what extent a particular type of fabric gave homogeneous results over its surface for a standard wear test. In a single run the test machine could accommodate four samples of fabric, at positions 1, 2, 3 and 4. On a large sheet of the fabric four areas A, B, C and D were marked out at random at different places over the surface. From each area 4 samples were taken, and the 16 samples thus obtained were compared in the machine with the following results, given in milligrams of wear: | | run I | run II | run III | run IV | |---|---|---|---|---| | position 1 | A 26.1 | D 20.0 | C 32.4 | B 20.7 | | position 2 | B 22.3 | A 26.9 | D 21.5 | C 35.0 | | position 3 | C 29.0 | B 22.4 | A 26.3 | D 22.8 | | position 4 | D 30.6 | C 28.8 | B 25.2 | A 26.4 | What type of design is this? Analyze the data and draw conclusions.

          Question 1 (10 marks)

The following experiment was designed to find out to what extent a particular type of fabric gave homogeneous results over its surface for a standard wear test. In a single run the test machine could accommodate four samples of fabric, at positions 1, 2, 3 and 4. On a large sheet of the fabric four areas A, B, C and D were marked out at random at different places over the surface. From each area 4 samples were taken, and the 16 samples thus obtained were compared in the machine with the following results, given in milligrams of wear:

| | run I | run II | run III | run IV |
|---|---|---|---|---|
| position 1 | A 26.1 | D 20.0 | C 32.4 | B 20.7 |
| position 2 | B 22.3 | A 26.9 | D 21.5 | C 35.0 |
| position 3 | C 29.0 | B 22.4 | A 26.3 | D 22.8 |
| position 4 | D 30.6 | C 28.8 | B 25.2 | A 26.4 |

What type of design is this? Analyze the data and draw conclusions.

Question 1 (10 marks)

The following experiment was designed to find out to what extent a particular type of fabric gave homogeneous results over its surface for a standard wear test. In a single run the test machine could accommodate four samples of fabric, at positions 1, 2, 3 and 4. On a large sheet of the fabric four areas A, B, C and D were marked out at random at different places over the surface. From each area 4 samples were taken, and the 16 samples thus obtained were compared in the machine with the following results, given in milligrams of wear:

| | run I | run II | run III | run IV |
|—|—|—|—|—|
| position 1 | A 26.1 | D 20.0 | C 32.4 | B 20.7 |
| position 2 | B 22.3 | A 26.9 | D 21.5 | C 35.0 |
| position 3 | C 29.0 | B 22.4 | A 26.3 | D 22.8 |
| position 4 | D 30.6 | C 28.8 | B 25.2 | A 26.4 |

What type of design is this? Analyze the data and draw conclusions.

Added by Sergio P.

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