Psychology A psychophysical experiment was conducted to analyze human response to electric...

Psychology A psychophysical experiment was conducted to analyze human response to electrical shocks.1 The subjects received a shock of a certain intensity. They were told to assign a magnitude of 10 to this particular shock, called the standard stimulus. Then other shocks (stimuli) of various intensities were given. For each one, the response R was to be a number that indicated the perceived magnitude of the shock relative to that of the standard stimulus. It was found that R was a function of the intensity I of the shock (I in microamperes) and was estimated by

Evaluate (a) f(1000) and (b) f(2000). (c) Suppose that I0 and 2I0 are in the domain of f. Express f(2I0) in terms of f(I0). What effect does the doubling of intensity have on response?

1 Adapted from H. Babkoff, “Magnitude Estimation of Short Electrocutaneous Pulses” Psychological Research, 39, no.1 (1976), 39?49.