A manufacturer of automatic car transmissions uses steel gears. An important characteristic of these gears is their hardness. An experiment is conducted to compare gears made from three different steel alloys, that is, three different compositions of steel. Gears made from each of these steel alloys were heat-treated or hardened at two different temperature levels, 1600 and 1800 °F. Twelve gears of each of the three different steel alloys were available -- six were randomly assigned to each of the two temperature levels.  For this experimental situation: How many different treatment combinations will there be? Create the design table and how many total experimental units will be needed for this experiment?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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 A manufacturer of automatic car transmissions uses steel gears. An important characteristic of these gears is their hardness. An experiment is conducted to compare gears made from three different steel alloys, that is, three different compositions of steel. Gears made from each of these steel alloys were heat-treated or hardened at two different temperature levels, 1600 and 1800 °F. Twelve gears of each of the three different steel alloys were available -- six were randomly assigned to each of the two temperature levels.  For this experimental situation:

  1. How many different treatment combinations will there be?
  2. Create the design table and how many total experimental units will be needed for this experiment?
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