Collecting Data
Which of the following allows experiments to establish causation?
Treatment imposition
Manipulation of explanatory variables
Random assignment
Use of a control group
Which element is critical in designing an experiment to determine whether a new fertilizer increases plant growth more effectively than the standard one?
Measuring plant growth only at the end of the growing season.
Ensuring that both fertilizers are applied under similar environmental conditions.
Observing only a specific species of plants for uniformity reasons.
Applying different amounts of each fertilizer based on plant type.
When comparing the means of two different treatments in a completely randomized design, which type of statistical test is appropriate for determining if there is a significant difference between the treatments given unequal sample variances and sizes?
Welch's t-test
One-sample t-test
Chi-squared test for independence
Paired samples t-test
If an AP Statistics student wants to test the effectiveness of a new studying technique on exam scores, which design aspect is essential for minimizing variability within treatment conditions?
Using only volunteer students as subjects.
Pairing subjects based on their GPAs.
Random assignment of subjects to treatments.
Assigning treatments based on class schedules.
In a matched pairs design, each pair receives:
No treatments, only control groups
Both treatments in a random order
Only one treatment randomly assigned
Only one treatment, predetermined by the researcher
Which of the following is a measure of center?
Interquartile range
Mean
Standard deviation
Range
Which of the following statements about confounding variables is true?
They are the variables that are intentionally changed.
They are the set of individuals who are used as a baseline comparison.
They are the outcomes that are measured by the researcher.
They influence the response variable but are not manipulated or controlled by the researcher.

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What type of experimental design reduces variability within treatment conditions and provides more precise estimates of treatment effects?
Using matched pairs where each subject serves as their own control.
Conducting a completely randomized design without any form of blocking or pairing.
Assigning all subjects randomly without considering their characteristics.
Blocking based on similar characteristics before randomly assigning treatments.
Which measure describes the middle value when a data set is ordered from least to greatest?
Variance
Z-score
Median
Mean
What role does blocking play in designing statistically sound experiments?
The main purpose of blocking is to establish causal relationships between multiple dependent variables simultaneously.
Mainly, blocks serve to simplify analysis, allowing for one-way ANOVA instead of complex multivariate techniques.
Blocks are used to create groups of similar individuals which control for outside factors.
Blocking is primarily useful for eliminating natural factors such as weather or time of day.