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A group of four industrial engineers want to do an experiment on stone carving. They plan to Ese two responses: The time to complete carving of one slab of stone and the amount of water used in carving the slab. They used a number of factors such as A: Stone type (Deep Ocean Green Soapstone, Woody Alabaster, Pale Pink Soapstone), B: Worker's experience (8, 15 years), and C: Carving machine power (10, 12, and 14 hp). All other factors are set at equal number of levels. They will take one reading for the carving time (min and two readings for the water usage response (m. The group plans to have (five replicates, The engineers determine 1080 readings to be taken in their experiment and they will study 31 effects.

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Final answer:

The question describes an experiment by industrial engineers aiming to understand the impact of different factors like stone type, worker's experience, and carving machine power on the stone carving process. They are going to record two measures: Carving time and water usage, and they aim to take 1080 readings and study 31 effects.

Step-by-step explanation:

The question pertains to an experiment being conducted by a group of industrial engineers studying the process of stone carving. In this experiment, a number of factors such as type of stone, worker's years of experience, and power of carving machine are considered.

Two metrics are recorded as outputs, or responses: the time taken to carve a slab of stone and the amount of water used in the process.

The controlled variables include placeholders like the type of stone (Deep Ocean Green Soapstone, Woody Alabaster, Pale Pink Soapstone), worker's experience (8, 15 years), and the power of the carving machine (10, 12, 14 hp). The total number of readings or observations they plan to gather is 1080, and they study 31 different effects or outcomes based on the variables they have considered.

This methodology is quite similar to those used in archaeological research. Archaeologists often study artifacts and employ similar systematic approaches for factor consideration.

Archaeologist Jennie Ebeling and her colleague Yorke Rowan have studied the evolution of grinding stones in the Near East, using diverse evidence including artifacts, tomb paintings, written sources, and ethnographic studies. They've thoroughly investigated parameters and outcomes much like our team of industrial engineers.

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