7.1.24 Question Help giigh in the figure fepresents normal diatribution with mea

Question

7.1.24 Question Help giigh in the figure fepresents normal diatribution with mean ?-15 ard standard deviation ? . 3. The other graph represents a normal distribution with mean-6 and standard deviston ? :3. Determine which graph is which and explan how you know. 20 A Graph A has a mean of ? . 15 and graph B has mean of ?-6 because a larger mean shifts the graph 10 the left. O B. Graph A has a mean of p-6and graph B has a mean ofp-15 because a larger mean shifts the graph to the right O C. Graph A has a mean of gu-6 and graph B has a mean ofp-15 because a larger mean shifts the graph to the left ? D. Graph A has a mean of" 15 and gragh B has t, mean ofp-6 because a larger mean thifts the graph 10 the right.

Explanation / Answer

The answer is option B.

EXPLANATION-

We know that Normal distribution is symmetric with respect to its mean.The spread of the density curve is determined by the standard deviation of the Normal distribution.Observe that,according to the question,both of the given distributions have the same standard deviation,(viz=3).

Now,the center position of a Normal curve is determined through the position of its mean,as they are symmetric with respect to the mean.So,according to the above explanation,it is quite obvious that the position of a curve shifts to the right when its mean increases.

Since,in the given picture,Graph B is placed at the right side of graph A,we can conclude that-

B.Graph A has mean of 6 and Graph B has mean of 15 ,because a larger mean shifts the graph to the right.(ANSWER).

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