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THE CORRECT ANSWER IS C, can someone please explain why..... Two normal density

ID: 3293765 • Letter: T

Question

THE CORRECT ANSWER IS C, can someone please explain why.....

Two normal density curves A and B are given in the graph below: If mu_A and sigma_A are the mean and standard deviation from density curve A and mu_B and sigma_B are the mean and standard deviation from density curve B, which of the following statements is true? (A) mu_A is greater than mu_B and sigma_A is less than sigma_B (B) mu_A is less than mu_B and sigma_A is less than sigma_B (C) mu_A is less than mu_B and sigma_A is greater than sigma_B (D) mu_A is greater than mu_B and sigma_A is greater than sigma_B

Explanation / Answer

Given curves are bell shaped curves. A bell curve graph depends on two factors: the mean and the standard deviation

The center contains the greatest number of a value and therefore would be the highest point on the arc of the line.This point is referred to the Mean.

A large standard deviation creates a bell that is short and wide while a small standard deviation creates a tall and narrow curve

So, answer is option C