In experimental research where an independent variable is manipulated to create multiple groups and a quantitative dependent variable is measured, which descriptive statistics are typically computed and compared?

Arrange the following steps in the correct order to show how descriptive statistics are used to analyze results in experimental research.

A researcher conducts an experiment to see if the amount of sleep (4 hours vs. 8 hours) affects memory. Participants are assigned to one of two groups and then asked to recall words from a list. Match each research goal with the correct descriptive statistical procedure.

In an experiment where an independent variable is manipulated, calculating only the overall mean of the dependent variable for all participants combined would prevent a researcher from analyzing whether the manipulation produced different outcomes across the experimental conditions.

In experimental research, researchers typically calculate descriptive statistics like the mean for each experimental condition separately and then compare them to see if the groups differ.

In a study comparing the effectiveness of $2$ different therapeutic techniques on reducing anxiety, why would a researcher calculate the mean anxiety score for each therapy group separately?

A researcher claims that a new study technique is effective because the overall average test score for all $80$ participants is high. To evaluate this claim in an experimental design with two different conditions, the researcher must calculate the descriptive statistics for each condition _____ before comparing them.

A researcher investigates whether background music type (no music, classical, or pop) affects reading comprehension scores (0–20 points) in a three-group experiment. Match each element of the study to its correct description.

A researcher runs a two-group experiment examining the effect of mindfulness training (trained vs. untrained) on anxiety scores. After collecting data, she reports only a single combined mean anxiety score across all 60 participants. A classmate critiques this analysis, correctly pointing out that it makes it impossible to determine whether the _____ for the two groups actually differ — which is the core analytic goal when using descriptive statistics in experimental research.

A peer asks you to critically evaluate whether a published experiment correctly applied descriptive statistics to its multi-group data. Arrange the following evaluative steps in the order you should carry them out.

Based on the typical data analysis workflow for experimental research, identify the specific descriptive statistics that researchers calculate when they manipulate an independent variable to create multiple groups and measure a quantitative dependent variable. Explain how these values are used to evaluate the results of the experiment.

Explain why the researcher's approach is incorrect for analyzing this experiment. Detail what steps they should have taken instead using descriptive statistics, and how they should use those statistics to draw a conclusion about the conditions.

A psychologist conducts an experiment to test the effect of background noise level (quiet, moderate noise, loud noise) on test performance scores (measured quantitatively from $0$ to $100$). Apply the rules of experimental descriptive statistics to describe how the psychologist must calculate and compare the means to evaluate their data.