If a sample results in a computed t score of 1.50, what expected t scores are combined to determine the p-value when defining 'extreme' in both directions?

Based on the example where a computed t-score of 1.50 results in a p-value of 0.14, match each component of the calculation with its correct description.

True or False: In a t-distribution with 24 degrees of freedom, if a t-score of 1.50 results in a p-value of .14, a t-score that is further from zero (such as 2.00) would result in a p-value smaller than .14.

A researcher claims that a $t$ score of $1.50$ ($df = 24$) represents an unusually rare result. Arrange the following steps in the logical order required to evaluate the validity of this claim by determining and interpreting the associated $p$-value.

You are designing an automated reporting system for psychological research. To correctly 'create' a two-tailed $p$-value calculation for a result of $t = 1.50$ ($df = 24$) as illustrated in the distribution image, which set of logical instructions must the system follow to produce the correct value of $.14$?

In the example provided, the $p$-value of $.14$ represents the proportion of expected $t$ scores that fall between the values of $-1.50$ and $1.50$.

A researcher uses a t-distribution with 24 degrees of freedom and obtains a t-score of 1.50. If the proportion of expected t-scores that are 1.50 or greater is 0.07, then the two-tailed p-value for this result is _____.

A researcher runs a one-sample $t$-test on a sample of $25$ participants and obtains a two-tailed $p$-value of $.14$ for $t = 1.50$. Apply your understanding of how $p$-values are computed from the $t$-distribution to match each element of this scenario with its correct value or interpretation.

Analyzing the example, a student notices that combining the proportion of $t$ scores above $1.50$ with the proportion below $-1.50$ produces a total $p$-value of $.14$, and each tail must contribute exactly $.07$. The student concludes that this equal split occurs because the $t$-distribution with $24$ degrees of freedom is _____ around zero.

A peer reviewer must judge whether a researcher correctly computed and interpreted a two-tailed $p$-value ($t = 1.50$, $n = 25$, reported $p = .14$, conclusion: 'fail to reject $H_0$'). Arrange the following reviewer evaluation steps in the most defensible logical order.

Based on the provided distribution example, explain how the degrees of freedom are calculated for a sample of $25$ individuals. Then, state how a researcher defines an "extreme" $t$ score in both directions to find the proportion of expected scores that make up the $p$-value.

Diagnose the error in the researcher's interpretation and calculation of the two-tailed $p$-value. Explain what they should have done to correctly calculate the two-tailed $p$-value based on the concept of extreme scores in both directions.

Suppose you are evaluating a $t$ score of $1.50$ with $24$ degrees of freedom. If you know that the proportion of expected $t$ scores that are $1.50$ or greater is $.07$, apply the two-tailed definition of "extreme" to determine both the proportion of expected scores that are $-1.50$ or lower and the final combined $p$-value.