Statistical Experiments, Simulation and Decisions: Algebra 2 Math Quiz – PDF Download
This quiz has ten multiple-choice questions on simulation, randomized experiments, evaluating reports, fair choices and expected value. Choose the one best answer for each question. Read any graph or table carefully before you answer, and use the explanation to learn from each miss.
🎯 Statistical Experiments, Simulation and Decisions – Algebra 2 math quiz
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Question 1
Ben flipped a coin \(50\) times and got \(34\) heads. The histogram shows \(100\) simulated sets of \(50\) flips of a fair coin.
Simulation of a fair coin flipped 50 times, repeated 100 times.
Which conclusion fits best?
AThe result is typical for a fair coin, so the coin is fair.
BThe result is rare for a fair coin, so the coin is probably not fair.
CThe result proves that the coin is biased.
DA simulation cannot say anything about one real result.
Question 2
A fair die is rolled \(120\) times. What is the expected number of fours?
A\(24\)
B\(30\)
C\(40\)
D\(20\)
Question 3
In \(200\) re-randomizations, \(9\) gave a difference at least as large as the observed difference. What is the estimated probability of such a difference by chance?
A\(0.45\)
B\(0.045\)
C\(0.0045\)
D\(0.955\)
Question 4
In a randomized experiment, the probability that chance alone gives a difference as large as the observed one is \(0.02\). Using the \(5\%\) guideline, what is the conclusion?
AThe difference is not statistically significant.
BThe treatment has no effect.
CThe difference must be large and important.
DThe difference is statistically significant.
Question 5
The dot plot shows plant heights for two randomly assigned groups. What is the difference of the means (X minus Y)?
Six plants per group.
A\(2.17\) inches
B\(2\) inches
C\(3\) inches
D\(1.5\) inches
Question 6
A survey finds that students who eat breakfast have higher grades. Which conclusion is justified?
AEating breakfast is associated with higher grades.
BEating breakfast causes higher grades.
CSkipping breakfast lowers grades.
DEvery student should eat breakfast to raise grades.
Question 7
Which plan chooses fairly among three people using one standard die?
AFace \(1\) for Ana, \(2\)-\(3\) for Ben, \(4\)-\(6\) for Cal
BFaces \(1\)-\(2\) for Ana, \(3\)-\(5\) for Ben, \(6\) for Cal
CFaces \(1\)-\(2\) for Ana, \(3\)-\(4\) for Ben, \(5\)-\(6\) for Cal
DFaces \(1\)-\(3\) for Ana, \(4\)-\(5\) for Ben, \(6\) for Cal
Question 8
A game costs \(\$5\) to play and pays \(\$20\) with probability \(0.2\) (otherwise nothing). What is the expected net result per play?
A\(\$3.00\)
B\(\$1.00\)
C\(-\$1.00\)
D\(-\$4.00\)
Question 9
The table shows results of a screening test on \(1{,}000\) people. A person tests positive. What is the probability the person has the condition?
Results for 1,000 people.
Aabout \(7.5\%\)
Babout \(80\%\)
Cabout \(92.5\%\)
Dabout \(10.7\%\)
Question 10
Which study design best supports a cause-and-effect conclusion about sleep and test scores?
ASurvey \(40\) students about their sleep and scores.
BCompare scores of students who choose to sleep more.
CRecord the scores of the first \(40\) students who volunteer.
DRandomly assign \(40\) volunteers to two different sleep schedules and compare scores.
🎉 Quiz complete!
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Remember:
Standards S-IC.A.2, S-IC.B.5, S-IC.B.6, S-MD.B.6 and S-MD.B.7: simulation, experiments, reports and decisions.
A result is inconsistent with a model when simulated sets rarely produce one that extreme (often under 5%).
Random assignment lets a significant difference be credited to the treatment, not to luck.
A choice is fair when every option has the same probability; expected value is the sum of payoff times probability.
Check a report’s sample, assignment, size and presentation before trusting its claim.
