Which of the following is true about the areas described O The area in the range from z = 0 to z = 1 is the same as the area in the range from z = 1 to z = 2. O 95% of the observations have values twice that of the mean. O Fewer than 1% of the observations are three standard deviations above or below the mean. O Roughly 50% of the observations are located at the mean of the distribution. O The area below the mean is greater than the area above the mean.

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**DTAL – AP Statistics - Unit 1 - 22-23**

**MICHAEL, DANAYSHA**

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**Question:**

Which of the following is true about the areas described under the normal curve?

1. The area in the range from \( z = 0 \) to \( z = 1 \) is the same as the area in the range from \( z = 1 \) to \( z = 2 \).

2. 95% of the observations have values twice that of the mean.

3. Fewer than 1% of the observations are three standard deviations above or below the mean.

4. Roughly 50% of the observations are located at the mean of the distribution.

5. The area below the mean is greater than the area above the mean.

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**Note:** The link provided seems to be a validation link for student access, directing to a specific page on a website likely related to educational content or testing.
Transcribed Image Text:**DTAL – AP Statistics - Unit 1 - 22-23** **MICHAEL, DANAYSHA** --- **Question:** Which of the following is true about the areas described under the normal curve? 1. The area in the range from \( z = 0 \) to \( z = 1 \) is the same as the area in the range from \( z = 1 \) to \( z = 2 \). 2. 95% of the observations have values twice that of the mean. 3. Fewer than 1% of the observations are three standard deviations above or below the mean. 4. Roughly 50% of the observations are located at the mean of the distribution. 5. The area below the mean is greater than the area above the mean. --- **Note:** The link provided seems to be a validation link for student access, directing to a specific page on a website likely related to educational content or testing.
Expert Solution
Step 1

Normal curve is symmetric about the mean. The total are under a normal curve is 1. The area under the normal curve for a specific interval is the probability for the data values lies in that interval. z=0 in the standard normal curve denotes the mean value. Using these facts of the normal curve the correct option is determined. 

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