Final answer:
In a t-test, the 'df' stands for degrees of freedom, which for a single sample is calculated as the sample size minus 1. In the provided question, with a sample of 32 video games, the degrees of freedom would be 31. The correct option is D.
Step-by-step explanation:
When conducting an t-test for the claim that the population mean is greater than 82 seconds based on 32 video games showing drug use, the df denotes the number of degrees of freedom.
The option D from the provided choices is correct, which signifies that the df is the number of degrees of freedom.
The degrees of freedom (df) are calculated as the sample size minus 1 when performing a t-test on a single sample. Therefore, with a sample size of 32, the value of df would be 32 - 1, which equals 31. The correct option is D.