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.