Choose the correct answer below OA Graph A has a mean of u= 16 and graph B has OB. Graph A has a mean of u=7 and graph B has OC. Graph A has a mean of u=7 and graph B has D. Graph A has a mean of p = 16 and graph B ha

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The problem involves two graphs representing normal distributions. 

**Text on the Screen:**

One graph in the figure represents a normal distribution with mean \( \mu = 7 \) and standard deviation \( \sigma = 1 \). The other graph represents a normal distribution with mean \( \mu = 16 \) and standard deviation \( \sigma = 1 \). 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 \( \mu = 7 \) because a larger mean shifts the graph to the right.

B. Graph A has a mean of \( \mu = 7 \) and graph B has a mean of \( \mu = 16 \) because a larger mean shifts the graph to the right.

C. Graph A has a mean of \( \mu = 7 \) and graph B has a mean of \( \mu = 16 \) because a larger mean shifts the graph to the left.

D. Graph A has a mean of \( \mu = 16 \) and graph B has a mean of \( \mu = 7 \) because a larger mean shifts the graph to the left.

Click to select your answer.

**Diagram Details:**

The diagram shows two overlapping bell curves:
- Graph A (red curve) is labeled closer to 16 on the horizontal axis.
- Graph B (blue curve) is labeled closer to 7 on the horizontal axis.

Thus, it visually represents how different means shift the graph's position along the horizontal axis. 

**Explanation:**

A larger mean shifts the graph to the right on the horizontal axis. This indicates that Graph A, being to the right, has the larger mean of \( \mu = 16 \), and Graph B has a mean of \( \mu = 7 \).

Correct Answer: A. Graph A has a mean of \( \mu = 16 \) and graph B has a mean of \( \mu = 7 \) because a larger mean shifts the graph to the right.
Transcribed Image Text:The problem involves two graphs representing normal distributions. **Text on the Screen:** One graph in the figure represents a normal distribution with mean \( \mu = 7 \) and standard deviation \( \sigma = 1 \). The other graph represents a normal distribution with mean \( \mu = 16 \) and standard deviation \( \sigma = 1 \). 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 \( \mu = 7 \) because a larger mean shifts the graph to the right. B. Graph A has a mean of \( \mu = 7 \) and graph B has a mean of \( \mu = 16 \) because a larger mean shifts the graph to the right. C. Graph A has a mean of \( \mu = 7 \) and graph B has a mean of \( \mu = 16 \) because a larger mean shifts the graph to the left. D. Graph A has a mean of \( \mu = 16 \) and graph B has a mean of \( \mu = 7 \) because a larger mean shifts the graph to the left. Click to select your answer. **Diagram Details:** The diagram shows two overlapping bell curves: - Graph A (red curve) is labeled closer to 16 on the horizontal axis. - Graph B (blue curve) is labeled closer to 7 on the horizontal axis. Thus, it visually represents how different means shift the graph's position along the horizontal axis. **Explanation:** A larger mean shifts the graph to the right on the horizontal axis. This indicates that Graph A, being to the right, has the larger mean of \( \mu = 16 \), and Graph B has a mean of \( \mu = 7 \). Correct Answer: A. Graph A has a mean of \( \mu = 16 \) and graph B has a mean of \( \mu = 7 \) because a larger mean shifts the graph to the right.
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