Question

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

Explanation:

Step1: Recall mean property of normal curve

The mean of a normal - curve is at the center of the curve. The blue (dashed) curve is centered to the left of the red (solid) curve. So, the blue curve has a smaller mean.

Step2: Recall standard - deviation property of normal curve

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

Answer:

1. C. blue curve (dashed curve)
2. A. blue curve (dashed curve)