If the mean of a normal distribution is negative,
A)the standard deviation must also be negative
B)the variance must also be negative
C)a mistake has been made in the computations, because the mean of a normal distribution cannot be negative
D)None of the alternative answers is correct.

Question

Quizplus · Accepted Answer

The mean of a normal distribution can be positive, negative, or zero, and there is no requirement for the standard deviation or variance to take the same sign as the mean. Therefore, choices A and B are incorrect. Choice C is incorrect because the mean of a normal distribution can be negative. Therefore, the correct answer is D: None of the alternative answers is correct.

If the Mean of a Normal Distribution Is Negative