Compare a graph of the normal density function with mean of 0 and standard deviation of 1 with a graph of anormal density function with mean equal to 4 and standard deviation of 1. The graphs would
A) Have the same height but one would be shifted 4 units to the right.
B) Have the same height but one would be shifter 4 units to the left.
C) Have no horizontal displacement but one would be steeper that the other.
D) Have no horizontal displacement but one would be flatter than the other.

Question

Quizplus · Accepted Answer

The graph with a mean of 4 would be a horizontal shift of the graph with a mean of 0 by 4 units to the right, without any change in height, since both have the same standard deviation of 1.

Compare a Graph of the Normal Density Function with Mean