Questions: A pottery school wants to study whether the glaze of stoneware bowls is affected by the temperature used to harden the bowls. The study will use 3 different types of clay because glaze can affect different clay in different ways. Eight bowls will be made with each clay type for a total of 24 bowls, and 4 different temperatures will be used. What is the best design to use for the study? (A) A completely randomized design. Randomly assign temperatures so that 6 bowls are glazed at each temperature. (B) A completely randomized design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature. C. A randomized block design. Randomly assign temperatures so that 6 bowls are glazed at each temperature. (D) A randomized block design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature. (E) A matched pairs design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature.

A pottery school wants to study whether the glaze of stoneware bowls is affected by the temperature used to harden the bowls. The study will use 3 different types of clay because glaze can affect different clay in different ways. Eight bowls will be made with each clay type for a total of 24 bowls, and 4 different temperatures will be used. What is the best design to use for the study? (A) A completely randomized design. Randomly assign temperatures so that 6 bowls are glazed at each temperature. (B) A completely randomized design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature. C. A randomized block design. Randomly assign temperatures so that 6 bowls are glazed at each temperature. (D) A randomized block design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature. (E) A matched pairs design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature.
Transcript text: A pottery school wants to study whether the glaze of stoneware bowls is affected by the temperature used to harden the bowls. The study will use 3 different types of clay because glaze can affect different clay in different ways. Eight bowls will be made with each clay type for a total of 24 bowls, and 4 different temperatures will be used. What is the best design to use for the study? (A) A completely randomized design. Randomly assign temperatures so that 6 bowls are glazed at each temperature. (B) A completely randomized design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature. C. A randomized block design. Randomly assign temperatures so that 6 bowls are glazed at each temperature. (D) A randomized block design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature. (E) A matched pairs design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature.
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the factors and their levels

The study involves two factors:

  • Clay type: 3 levels (3 different types of clay).
  • Temperature: 4 levels (4 different temperatures).

There are 24 bowls in total, with 8 bowls made from each clay type.

Step 2: Determine the experimental design requirements

The goal is to study the effect of temperature on glaze, considering that different clay types may respond differently. This suggests the need to control for the effect of clay type while randomizing temperature assignments.

Step 3: Evaluate the design options
  • Completely randomized design (A and B): This design does not account for the potential effect of clay type, which could confound the results.
  • Randomized block design (C and D): This design groups bowls by clay type (blocks) and randomizes temperature assignments within each block. This controls for the effect of clay type.
  • Matched pairs design (E): This is not suitable here because there are more than two levels of temperature and multiple clay types.

Between options (C) and (D), option (D) ensures that 2 bowls of each clay type are glazed at each temperature, which balances the design and allows for better comparison.

Step 4: Select the best design

The best design is (D) A randomized block design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature. This design controls for the effect of clay type and ensures balanced temperature assignments.

Final Answer

The correct answer is D.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Give the exact value of the expression without using a calculator. cos(tan^(-1)(-12/5) + tan^(-1)(4/3)) cos(tan^(-1)(-12/5) + tan^(-1)(4/3))=□ (Simplify your answer, including any radicals. Use integers or fractions for any numbers)
failedAnswered
Unit Exam - Functions Find the equation of this line. y=3/2 x+[?] Simplify your answer completely.
failedAnswered
Thrombocytes are red blood cells. eosinophils. platelets. monocytes. basophils.
failedAnswered
Graph the vector v that goes from the origin to the given point. Then write v in component form. (-2,4) Hint: Use "<a,b>" for ⟨a, b⟩. v=
failedAnswered
Write the standard form of the equation of the circle with the given center and radius. Center (-2,2), r=sqrt(3) The equation of the circle in standard form is (Simplify your answer.)