suppose-we-have-two-treatments-x-and-y-each-with-only-two-quantitative-observati

Question

Suppose we have two treatments, X and Y, each with only two quantitative observations. Because the sample sizes are small (fewer than $10$ ), the Wilcoxon signed-ranks test is not applicable.

The combined data have been ranked from $1$ (lowest) to $4$ (highest). Below is one possible assignment of treatments to ranks.

Table showing ranks 1-4 with treatments X, X, Y, Y; rank sum for treatment X is 3.

Which of the following is the correct list of all possible rank sums for treatment X when there are two values from treatment X and two from treatment Y, ranked from $1$ (lowest) to $4$ (highest)?

Accepted Answer

$3 comma 4 comma 5 comma 6 comma 7$

Answer

$3 comma 4 comma 5 comma 6 comma 7$

Answer

$3 comma 4 comma 5 comma 6 comma 7$

Answer

$3 comma 4 comma 5 comma 6 comma 7$