Final answer:
The most conclusive method to determine the impact of sugary snacks on exam performance is to conduct a randomized controlled trial, giving half the students M&Ms before the exam and comparing their performance with those who did not consume them.
Step-by-step explanation:
Designing an Experiment to Test the Effects of Sugary Snacks on Exam Performance
The most conclusive strategy to determine if eating sugary snacks before an exam improves performance would be option (c): Wait for exam time in a big class, give a random half of the students M&Ms before the exam, and see whether the students who ate M&Ms perform better. This strategy represents a randomized controlled trial, which is the gold standard in experimental design. Randomization ensures that the two groups (those who eat the M&Ms and those who do not) are likely to be similar in all respects except for the intervention being tested, reducing the impact of confounding variables or biases.
Option (a) involves observational data which can be influenced by confounding variables, such as study habits. Option (b) also involves observation but is limited as it does not control for students' natural propensity to eat sugary snacks. Option (d) provides a comparison between sugary snacks and salty snacks, which could present separate effects that are not strictly comparable in terms of influencing exam performance.
An experiment with a control and random assignment lays out a clearer path towards establishing a cause-and-effect relationship, as opposed to correlational studies. Moreover, ensuring the sample size is large enough helps provide more reliable results that could be generalized to a wider population.