Aresearcher wishes to design a fully blocked experiment with groups of subjects representing every possible combination of 1 explanatory variable (control vs. treatment) and 4 other variables (male vs. female, old vs. young, healthy vs. ill, and normal weight vs. overweight) for a total of 5 variables. how many blocks will there be in her experiment?

32 ( If each variable has two possibilities).

Explanation:

The variables will represent the different characteristics that had been taken to study the research. There are total 5 variables - control vs. treatment, old vs. young, healthy vs. ill, male vs. female and normal weight vs. overweight.

If a single variable has two possibilities and each possibilites represent a block.

There are total five variables= (2)⁵.= 2 × 2×2×2×2.

Blocks required = 32.

The total blocks in her experiment is 32.

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