Questions: HW Score: 90.91%, 10 of 11 points Part 1 of 2 Points: 0 of 1 (a) What happens to the graph of the normal curve as the mean increases? (b) What happens to the graph of the normal curve as the standard deviation decreases? (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) (a) Choose the correct answer below. A. The graph of the normal curve slides right. B. The graph of the normal curve slides left. C. The graph of the normal curve compresses and becomes steeper. D. The graph of the normal curve flattens out and becomes wider. E. Nothing happens to the graph of the normal curve.

HW Score: 90.91%, 10 of 11 points Part 1 of 2 Points: 0 of 1 (a) What happens to the graph of the normal curve as the mean increases? (b) What happens to the graph of the normal curve as the standard deviation decreases? (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) (a) Choose the correct answer below. A. The graph of the normal curve slides right. B. The graph of the normal curve slides left. C. The graph of the normal curve compresses and becomes steeper. D. The graph of the normal curve flattens out and becomes wider. E. Nothing happens to the graph of the normal curve.
Transcript text: ction 7.1 Homework Question 11, 7.1.RA-1 HW Score: $90.91 \%, 10$ of 11 points Part 1 of 2 Points: 0 of 1 (a) What happens to the graph of the normal curve as the mean increases? (b) What happens to the graph of the normal curve as the standard deviation decreases? (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) (a) Choose the correct answer below. A. The graph of the normal curve slides right. B. The graph of the normal curve slides left. C. The graph of the normal curve compresses and becomes steeper. D. The graph of the normal curve flattens out and becomes wider. E. Nothing happens to the graph of the normal curve.
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Solution

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Solution Steps

Step 1: Analyze the effect of increasing the mean on the normal curve

The mean of a normal distribution determines the center of the curve. As the mean increases, the entire curve shifts to the right along the horizontal axis. This is because the peak of the curve corresponds to the mean, and increasing the mean moves the peak to a higher value on the x-axis.

Step 2: Analyze the effect of decreasing the standard deviation on the normal curve

The standard deviation of a normal distribution determines the spread or width of the curve. As the standard deviation decreases, the curve becomes narrower and steeper. This is because a smaller standard deviation indicates that the data points are closer to the mean, resulting in less spread.

Step 3: Choose the correct answer for part (a)

For part (a), the correct answer is:

  • A. The graph of the normal curve slides right.

Final Answer

  • (a) The answer is \\(\boxed{A}\\).
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