AnswersNC-Math 4 CRExperimental Designs

Experimental Designs Answers

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What type of experimental design did Betty use?

A
matched pairs experimental design
B
completely randomized experimental design
C
randomized block experimental design
D
none (observational study only)
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Use the diagram to identify the components of the completely randomized design.

Answers:
Component A::60 cookies
Component B::random assignment
Component C::groups of 15 cookies
Component D::the 4 temperatures
Component E::comparison of “perfection” rating
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✔ random assignment60 cookiesthe 4 temperaturesgroups of 15 cookiescomparison of “perfection” rating

A
✔ random assignment
B
60 cookies
C
the 4 temperatures
D
groups of 15 cookies
E
comparison of “perfection” rating
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random assignment60 cookiesthe 4 temperatures✔ groups of 15 cookiescomparison of “perfection” rating

A
random assignment
B
60 cookies
C
the 4 temperatures
D
✔ groups of 15 cookies
E
comparison of “perfection” rating
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random assignment60 cookies✔ the 4 temperaturesgroups of 15 cookiescomparison of “perfection” rating

A
random assignment
B
60 cookies
C
✔ the 4 temperatures
D
groups of 15 cookies
E
comparison of “perfection” rating
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random assignment60 cookiesthe 4 temperaturesgroups of 15 cookies✔ comparison of “perfection” rating

A
random assignment
B
60 cookies
C
the 4 temperatures
D
groups of 15 cookies
E
✔ comparison of “perfection” rating
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Use the design web to identify the components of the experiment.

Answers:
Component A::juniors
Component B::seniors
Component C::random assignment
Component D::new technique
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✔ seniorsjuniorsnew techniquerandom assignment

A
✔ seniors
B
juniors
C
new technique
D
random assignment
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seniorsjuniorsnew technique✔ random assignment

A
seniors
B
juniors
C
new technique
D
✔ random assignment
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seniorsjuniors✔ new techniquerandom assignment

A
seniors
B
juniors
C
✔ new technique
D
random assignment
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Version A✔ Version B

A
Version A
B
✔ Version B
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Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enough batter to make 60 cookies. She decides to randomly assign 15 cookies to be baked at 300°, 15 at 325°, 15 at 350°, and 15 at 375°. The baking time for each batch is 12 minutes.Which statement about the randomization for the completely randomized design is correct?

A
Betty should place the first 15 balls of cookie dough that she scoops from the batter on a tray, and those will be baked at 300°. The next 15 will be placed onto a second tray to be baked at 325°. She should continue in this manner until all 60 cookies have been placed on trays.
B
Betty should scoop a ball of cookie dough from the batter, and then roll a die. Numbers 1–4 would indicate at which temperature the cookies will be baked, and 5–6 would indicate that she should roll again. She should repeat this process until all 60 cookies have been allocated.
C
Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.
D
Betty should place the first cookie on a tray to be baked at 300°. The second cookie will go on a tray to be baked at 325°, the third will go on a tray to be baked at 350°, and the fourth will go on a tray to be baked at 375°. She will continue placing the cookies in this pattern until all 60 cookies are on trays to be baked.
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Which statement about the randomization for the block design is correct?

A
The instructor should place the 25 student names on slips of paper and place them in a hat. Twelve of the slips should be drawn out and those students should receive the instruction on the new technique.
B
The instructor should place the names of the 14 juniors on slips of paper and place them in one hat. The 11 seniors’ names should be placed on slips of paper and placed into a separate hat. The instructor should randomly select 7 juniors and 5 seniors to receive instruction on the new technique.
C
For each student, the instructor should flip a coin. If the coin lands on heads, the student will receive instruction on the new technique. If the coin lands on tails, the student will not receive instruction on the new technique.
D
The students should line up alphabetically and count off by 2s. Every student who gets a 1 will receive instruction on the new technique. Every student who gets a 2 will not receive instruction on the new technique.
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Which statement about the randomization for the matched pairs design is correct?

A
For each participant, the nutritionist should flip a coin. If the coin lands on heads, the participant will be assigned to exercise during the first month and drink energy drinks during the second month. If the coin lands on tails, the participant will be assigned to drink energy drinks during the first month and exercise during the second month.
B
The nutritionist should place the names of the 50 participants on slips of paper and put them in a hat. She should then draw out 25 of the slips. Those participants will exercise for both months. The remaining 25 participants will drink energy drinks for both months.
C
The nutritionist should let the participants decide which treatment they would like to do first. That way, if they are too busy to exercise 30 minutes each day during the current month, they can save that treatment for the second month.
D
Because there are two treatments, exercise and drinking energy drinks, the nutritionist should divide the participants into 4 groups: 2 months of exercise, 2 months of energy drinks, 1 month of exercise followed by 1 month of energy drinks, and 1 month of energy drinks followed by 1 month of exercise. She can draw names from a hat to assign the participants to these 4 groups.
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Use the design web to identify the components of the experiment.

Answers:
Component A::juniors
Component B::seniors
Component C::random assignment
Component D::new technique

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