Use the normal distribution to the right to answer the questions. Standardized Test Composite Scores (a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21? H = 19.6 O = 5.2 19 21 Score (a) The percent of scores that are less than 19 is %. (Round to two decimal places as needed.) (b) About scores would be expected to be greater than 21. (Round to the nearest whole number as needed.)

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Author:Amos Gilat
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### Using Normal Distribution to Solve Problems

#### Instructions:
Use the normal distribution graph provided to the right to answer the following questions.

**Questions:**
(a) What percent of the scores are less than 19?

(b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21?

#### Solution Guide:
(a) **Percent of Scores Less Than 19:**
- Determine the percentage from the normal distribution.
- The result will be rounded to two decimal places.

(b) **Number of Scores Greater Than 21:**
- Calculate the number based on the normal distribution and the provided number of scores.
- The result will be rounded to the nearest whole number as needed.

**Graph/Diagram Explanation:**

The graph illustrates a normal distribution for standardized test composite scores. It shows:

- A bell curve, which represents the distribution of scores.
- The mean (average) score, denoted as \( \mu \), is 19.6.
- The standard deviation, denoted as \( \sigma \), is 5.2.
- Two specific scores, 19 and 21, are marked along the x-axis.

The graph visualizes the relationship between the scores and their distribution around the mean.

**Form Fields:**

(a) The percent of scores that are less than 19 is ___%.

(Round to two decimal places as needed.)

(b) About ___ scores would be expected to be greater than 21.

(Round to the nearest whole number as needed.)
Transcribed Image Text:### Using Normal Distribution to Solve Problems #### Instructions: Use the normal distribution graph provided to the right to answer the following questions. **Questions:** (a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21? #### Solution Guide: (a) **Percent of Scores Less Than 19:** - Determine the percentage from the normal distribution. - The result will be rounded to two decimal places. (b) **Number of Scores Greater Than 21:** - Calculate the number based on the normal distribution and the provided number of scores. - The result will be rounded to the nearest whole number as needed. **Graph/Diagram Explanation:** The graph illustrates a normal distribution for standardized test composite scores. It shows: - A bell curve, which represents the distribution of scores. - The mean (average) score, denoted as \( \mu \), is 19.6. - The standard deviation, denoted as \( \sigma \), is 5.2. - Two specific scores, 19 and 21, are marked along the x-axis. The graph visualizes the relationship between the scores and their distribution around the mean. **Form Fields:** (a) The percent of scores that are less than 19 is ___%. (Round to two decimal places as needed.) (b) About ___ scores would be expected to be greater than 21. (Round to the nearest whole number as needed.)
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