Which DO loop will NOT execute for the values 2, 4, 6, 8?

The correct choice is based on understanding how DO loops work in SAS programming. The option that specifies a loop using the syntax "DO i = 1 to 8 by 2;" generates a sequence of numbers starting at 1 and increments by 2 until it exceeds 8. This results in the values 1, 3, 5, and 7 being produced. Therefore, this loop will not produce the values 2, 4, 6, and 8, making it the correct answer.

The other options are designed to yield explicitly the values specified (2, 4, 6, and 8). The first option directly creates a list of these values within the DO loop statement. The second option defines multiples of 2 that directly correspond to 2, 4, 6, and 8. Since both of these loops will indeed execute and provide the values specified, they do not match the condition for exclusion.

Thus, only the third option fails to execute for the values 2, 4, 6, and 8 as requested in the question.