Question

consider the below normal curves. determine which normal curve has the larger mean. red curve (solid curve) the means are equal blue curve (dashed curve) determine which normal curve has the larger standard deviation. the standard deviations are equal red curve (solid curve) blue curve (dashed curve)

Explanation:

Step1: Recall mean property of normal curve

The mean of a normal - curve is at the center of the curve. Since the centers of the two curves coincide, the means are equal.

Step2: Recall standard - deviation property of normal curve

The standard deviation of a normal curve determines its spread. A larger standard deviation results in a wider and flatter curve. The blue (dashed) curve is wider and flatter than the red (solid) curve, so the blue curve has the larger standard deviation.

Answer:

the means are equal
blue curve (dashed curve)