given the plot of normal distributions $a$ and $b$ below, which of the following statements is true? select…

given the plot of normal distributions $a$ and $b$ below, which of the following statements is true? select all correct answers.\n\nselect all that apply:\n$square$ $a$ has the larger mean.\n$square$ $b$ has the larger mean.\n$square$ the means of $a$ and $b$ are equal.\n$square$ $a$ has the larger standard deviation.\n$square$ $b$ has the larger standard deviation.\n$square$ the standard deviations of $a$ and $b$ are equal.

given the plot of normal distributions $a$ and $b$ below, which of the following statements is true? select all correct answers.\n\nselect all that apply:\n$square$ $a$ has the larger mean.\n$square$ $b$ has the larger mean.\n$square$ the means of $a$ and $b$ are equal.\n$square$ $a$ has the larger standard deviation.\n$square$ $b$ has the larger standard deviation.\n$square$ the standard deviations of $a$ and $b$ are equal.

Answer

Brief Explanations:

  1. For normal distributions, the mean is the center (peak) of the curve. The peaks of A and B overlap, so their means are equal.
  2. The standard deviation reflects spread: a wider, flatter curve has a larger standard deviation. Curve B is wider and flatter than A, so B has a larger standard deviation.

Answer:

  • The means of A and B are equal.
  • B has the larger standard deviation.