"Sources of Individual Shy-Bold Variations in Antipredator Behaviour of Male Iberian Rock Lizards" explored the relationship between lizards' physical characteristics (such as body size and immune response) in a small sample of lizards, and their behavior when subjected to some sort of risk. Behavior was measured in terms of how shy a lizard was found to be, with a maximum of 2 for shyest and minimum of -2 for boldest. The article reports that shy individuals tended to have larger body sizes, but immune system was not important.
a. Which of these is the correlation for shyness and body size (the other being correlation for shyness and immune response): 0.03, 0.38?
b. Which of these is the P-value for shyness and body size (the other being P-value for shyness and immune response): 0.026, 0.86?
c. Explain why inference results for this study should be based on probability results from a t distribution, not z.