InkLoop/NYS Standards/NY-S.IC.2NY-S.IC.2
Algebra IIMaking Inferences and Justifying Conclusions60 target questions
Decide if a specified model is consistent with results from a given data-generating process (e.g. using simulation).
Sample Practice Questions (3)
1
The box plots below represent the results of two different simulations of the same population proportion (). One simulation used samples of size and the other used samples of size . Identify which box plot corresponds to and explain how the visual characteristics of the box plot support your choice.
| Simulation | Min | Q1 | Median | Q3 | Max |
|---|---|---|---|---|---|
| Box Plot 1 | 0.20 | 0.40 | 0.50 | 0.60 | 0.80 |
| Box Plot 2 | 0.35 | 0.45 | 0.50 | 0.55 | 0.65 |
Open response · diagram · tableSee Answer + Explanation →
2
A spinner is divided into four equal sections: Red, Blue, Green, Yellow. If the spinner is fair, each color should appear approximately 25% of the time. The spinner is spun 200 times, and the results are shown in the bar chart below. A simulation of 1000 trials, assuming a fair spinner, showed that the number of times each color appeared ranged from 38 to 62 in 95% of the trials. Based on the observed results and the simulation, is the spinner consistent with being fair?
AYes, because all observed frequencies are close to 50.
BNo, because the observed frequency for Red is outside the simulated range.
CYes, because the total number of spins is 200, which is a large sample size.
DNo, because the frequencies are not exactly 50 for each color.
Multiple choice · diagramSee Answer + Explanation →
3
The results of a large-scale simulation of sample proportions are approximately normally distributed with a mean of and a standard deviation of . Which interval represents the middle of the simulated sample proportions?
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
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