Question

which of the following statements is true about a normal density curve as σ increases? choose the correct answer below. a. the curve becomes more spread out. b. there is no change in the spread of the curve. c. the curve becomes less spread out. d. there is not enough information to determine the effect on the spread of the curve.

Explanation:

Step1: Recall normal density curve property

The standard - deviation $\sigma$ in a normal distribution determines the spread of the normal density curve.

Step2: Analyze the effect of $\sigma$ increase

When $\sigma$ (the standard - deviation) increases, the data points are more spread out from the mean. So, the normal density curve becomes more spread out.

Answer:

A. The curve becomes more spread out.