Question

Given the plot of normal distributions A and B below, which of the following statements is true? SATA1. A has the larger mean2. B has the larger mean 3. The means of A and B are equal4. A has the larger standard deviation5. B has the larger standard deviation 6 The standard deviations of A and B are equalMy answer: 2 and 4

Answer 1

Given

The plot of normal distributions A and B.

To find: The statements which are true.

Step-by-step explanation:

It is given that,

That implies,

From, the given graph, it is clear that, the normal distributions A and B has equal mean.

And, the standard deviation of A is larger than the standard deviation of B.

Hence, the answer is options 3 and 4.

3. The means of A and B are equal.

4. A has the larger standard deviation.