Question

41. The values for standard deviation, variance, correlation, r², probability, z-test statistics, and t-test statistics all have certain ranges which they can fall in.  Consider the value -0.5.  What could this value possibly be?

	a.	It could only be correlation, z-test statistic, t-test statistic, or probability.
	b.	It could only be correlation, z-test statistic, t-test statistic, or r2.
	c.	It could only be correlation or z test statistic.
	d.	It could only be correlation.
	e.	It could only be correlation, z-test statistic, or t-test statistic.

Answer 1

e. It could only be correlation, z-test statistic, or t-test statistic.

Explanation:

We know that the probability lies between 0 and 1, so it can’t take value such as -0.5. The values of the r^2 are always positive, so it can’t take value as -0.5. Correlation can take value as -0.5, because range of correlation is from -1 to +1. The z-test statistic and t-test statistic have theoretically ranges from minus infinity to plus infinity. So, last alternative is correct alternative.