AnswersNC-Math 4 CRObservational Studies and Experiments

Observational Studies and Experiments Answers

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6

Why is randomization important?Select the statement that best answers the question.

A
to ensure all treatment groups receive experimental units
B
to ensure all treatment groups are roughly equivalent regarding the experimental units
C
to ensure that all treatment groups are roughly equivalent regarding the variability within the experimental units
8

A company wants to test clear deck sealants for weather resistance. Three brands of sealants will be testedusing 60 pieces of decking wood. The company wants to create treatment groups of 20 pieces of wood each,and decide to randomize using slips of paper. Select all the approaches that would result in comparabletreatment groups.The numbers 1, 2, and 3 are each written on 20 slips of paper, and the slips areplaced in a hat and shaken well. The top piece of wood from a stack is selected and aslip of paper is drawn from the hat. That piece of wood is assigned to the group numberon the slip. The slip of paper is returned to the hat. This continues until all pieces of woodhave been assigned to a group.The numbers 1, 2, and 3 are written on three slips of paper, put into a hat, and shaken well. Aslip is drawn and the first 20 pieces of wood on the stack are assigned to the group number on theslip. Another slip is drawn and the next 20 pieces of wood are assigned to that group. The remaining

A
The numbers 1, 2, and 3 are each written on 20 slips of paper, and the slips areplaced in a hat and shaken well. The top piece of wood from a stack is selected and aslip of paper is drawn from the hat. That piece of wood is assigned to the group numberon the slip. The slip of paper is returned to the hat. This continues until all pieces of woodhave been assigned to a group.
B
The numbers 1, 2, and 3 are written on three slips of paper, put into a hat, and shaken well. Aslip is drawn and the first 20 pieces of wood on the stack are assigned to the group number on theslip. Another slip is drawn and the next 20 pieces of wood are assigned to that group. The remainingpieces of wood are assigned to the remaining group.
C
Each piece of decking wood is assigned a number from 1 to 60. The numbers 1–60 are written on slips of paper and placed in a hat and shaken well. Twenty slips are drawn, shakingthe hat after each slip of paper is drawn, and the pieces of wood corresponding to those numbersare placed in group 1. Twenty more slips are drawn in the same way, and the pieces of woodcorresponding to those numbers are placed in group 2. The pieces of wood corresponding to thenumbers on the remaining slips are placed in group 3.
D
The numbers 1, 2, and 3 are each written on 20 slips of paper (20 for each number) and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected,and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number onthe slip. The slip of paper is not returned to the hat. This continues until all pieces ofwood have been assigned to a group.
9

A company wants to test clear deck sealants for weather resistance. Three brands of sealants will be tested using nine pieces of decking wood. The company wants to randomly assign the pieces of wood to the treatment groups using a table of random digits to produce three equal-sized groups suitable for comparison. Select the appropriate design.

A
Select a piece of wood from the pile, and then, reading from left to right on a random number table, identify the first digit. If the first digit is 1, 2, or 3, assign the wood to sealant 1. If the first digit is 4, 5, or 6, assign it to sealant 2. If the first digit is 7, 8, or 9, assign it to sealant 3. Continue with the second piece of wood and the second digit in the table, and so on.
B
Number each piece of wood with a digit from 1–9. Read from left to right, looking at one digit at a time on a random number table to identify 9 unique one-digit numbers from 1–9. Assign the wood labeled with the first 3 numbers to sealant 1, the wood labeled with the next 3 numbers to sealant 2, and the remaining wood to sealant 3.
C
Randomly number each piece of wood with 1, 2, or 3. Assign the wood labeled 1 to sealant 1, the wood labeled 2 to sealant 2, and the wood labeled 3 to sealant 3.
D
Use the first 9 digits reading from left to right on a random number table to assign a number to each piece of wood. Then, wood that is labeled with a 0, 1, 2, or 3 is assigned to sealant 1, wood labeled with a 4, 5, or 6 is assigned to sealant 2, and wood labeled with a 7, 8, or 9 is assigned to sealant 3.

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