Which of the following correctly describes how to calculate the standard error of a group?

A psychology research team is comparing the results of four different pilot studies. Using the standard error formula ($SE = s / \sqrt{n}$), arrange the following studies in order from the smallest standard error (at the top) to the largest standard error (at the bottom).

In a psychological study comparing two conditions, the mean difference between groups is $15$ units. If the standard deviation ($s$) is $20$ and the sample size ($n$) is $16$, then according to the rule of thumb where significance is reached when a difference exceeds two standard errors, this result is statistically ________.

A psychology researcher finds that participants in a high-stress condition recall an average of $18$ items, while those in a low-stress condition recall $25$ items, resulting in a difference of $7$. If the calculated standard error ($SE$) for this study is $4$, the researcher is justified in concluding that the result is statistically significant based on the rule of thumb that a difference must exceed two standard errors.

In psychological research, according to a common rule of thumb, a difference between group means is generally considered statistically significant if it exceeds how many standard errors ($SE$)?

In psychological research, if a scientist doubles the sample size ($n$) while keeping the standard deviation ($s$) constant, the resulting standard error ($SE$) will be reduced by exactly one-half.

The standard error is calculated as $SE = \frac{s}{\sqrt{n}}$, where $s$ is the standard deviation and $n$ is the sample size. Match each scenario or design change to its direct effect on the standard error or its interpretation.

A cognitive psychologist is reviewing data from four separate treatment conditions in a memory study. Help the researcher identify the standard error ($SE$) for each group by matching the group's parameters to its correct calculated standard error.

A psychological research team is evaluating the results of four independent experiments. According to the standard rule of thumb in psychology, a difference between group means is statistically significant if it exceeds two standard errors ($SE = \\frac{s}{\\sqrt{n}}$).\n\nArrange the following experiments in order of their statistical significance margin—specifically, from the greatest number of standard errors the mean difference spans (at the top) to the smallest number of standard errors it spans (at the bottom).

A developmental psychologist is reviewing a submitted manuscript that claims a new interactive educational app significantly improves toddler language acquisition compared to a standard app, reporting a mean vocabulary difference of $5$ words between groups. The study reports a sample standard deviation ($s$) of $12$ and a sample size ($n$) of $16$. Using the standard rule of thumb that a difference between group means must exceed two standard errors ($SE = \frac{s}{\sqrt{n}}$) to be statistically significant, the reviewer must evaluate this claim.

Based on these values, the reviewer should conclude that the manuscript's claim of statistical significance is _________ (enter 'justified' or 'unjustified').