AP Statistics Experimental Design and Random Assignment Test with Point Values (PDF)

AP Statistics math test: Experimental Design and Random Assignment – Maths PDF

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This experiments test for AP Statistics covers experimental design and random assignment (Common Core AP STAT 3.4, AP STAT 3.5, AP STAT 3.6, HSS-IC.B.3, HSS-IC.B.5), with a free PDF to print.

This 45-minute test covers experimental design vocabulary, random assignment, blocking, and scope of inference. Describe designs completely and justify each choice in the context of the study.

Time and points

About this test

Grade: AP Statistics
Chapter: Experimental Design and Random Assignment
Standards: AP STAT 3.4, AP STAT 3.5, AP STAT 3.6, HSS-IC.B.3, HSS-IC.B.5
Time: 45 minutes
Total: 20 points

Experiments test: questions

Question 1 – Identify the design parts [3 pts]

A design diagram.

(a) Name the design. (1 point) (b) Identify the explanatory and response variables. (1 point) (c) How many plants are in each group, if the groups are equal? (1 point)

Question 2 – Confounding [2 pts]

A study shows that students who play an instrument have higher math grades. Explain how confounding affects a claim that music lessons raise math grades.

Question 3 – Random assignment [3 pts]

Random digits.

Twenty students are labeled 01 to 20. Use the digits above in pairs to select 4 of them for the treatment group. Show your steps. (3 points)

Question 4 – Blocking [3 pts]

A researcher compares two reading apps with 40 students, 20 in grade 3 and 20 in grade 6. (a) Name a better design than a completely randomized design. (1 point) (b) Describe the randomization. (2 points)

Question 5 – Placebo [2 pts]

Explain the purpose of a placebo and of blinding in a drug trial.

Question 6 – Scope of inference [2 pts]

Scope of inference.

An experiment randomly assigns 80 volunteers to two exercise plans. What can be concluded? What cannot?

Question 7 – Significance [2 pts]

In a clinical trial, the recovery rate was 78% with a new treatment and 64% with a placebo, and a simulation shows that a difference this large would happen about 1% of the time by chance. Interpret.

Question 8 – Evaluate a study [3 pts]

A school gives a new homework policy to Mr. Cho’s class and keeps the old policy for Ms. Lee’s class. The new-policy class has higher grades. List two problems with concluding that the policy raises grades. (2 points) Suggest an improvement. (1 point)

Key facts behind this experiments test

Key facts

Experiments impose treatments; observational studies do not and cannot prove causation.
Confounding occurs when the effects of two variables on the response cannot be separated.
Good design: comparison, random assignment, control, replication; use blinding and placebos when needed.
Designs: completely randomized, randomized block, matched pairs.
Random assignment allows cause-and-effect; random selection allows generalization.

How to use this experiments test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All AP Statistics chapters: AP Statistics math.

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