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One graph in the figure represents a normal distribution with mean mu= 9 and sta

ID: 3438876 • Letter: O

Question

One graph in the figure represents a normal distribution with mean mu= 9 and standard deviation sigma = 2. The other graph represents a normal distribution with mean mu = 16 and standard deviation sigma=2. Determine which graph is which and explain how you know. Choose the correct answer below. A. Graph A has a mean of mu = 16 and graph B has a mean of mu = 9 because a larger mean shifts the graph to the left. B. Graph A has a mean of mu = 9 and graph B has a mean of mu = 16 because a larger mean shifts the graph to the left. c. Graph A has a mean of mu= 16 and graph B has a mean of mu=9 because a larger mean shifts the graph to the right. D. Graph A has a mean of mu = 9 and graph B has a mean of mu = 16 because a larger mean shifts the graph to the right.

Explanation / Answer

option (D) is correct and self explanatory. The red curve has mid point of 9 and blue curve has mid point of 16, so clearly curve A has mean 9 and curve B has mean 16

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