According to a recent reporting on a standardized test, the average math score for students in a particular state was 554. Assum the scores are Normally distributed with a standard deviation of 96. Answer parts (a) through (c) below including an appropriately labeled and shaded Normal curve for each part. ...

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter11: Data Analysis And Displays
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The class I'm taking is statistics!

I am completely stuck. Need help. I have attached the problem. Please view attachment before answering. I need help with all of part B. thank you in advance!

According to a recent report on a standardized test, the average math score for students in a particular state was 554. The scores are normally distributed with a standard deviation of 96. Answer the following questions with the labeled and shaded Normal curve for each part.

**a. The percentage that scored 600 or more is:** 

- **Diagram Description:** The normal distribution curve shows scores ranging from 266 to 842 on the x-axis, with a vertical line at 600. The area under the curve from 600 to the right is shaded, representing those scoring 600 or more.

- **Answer:** 31.6% (Rounded to one decimal place as needed.)

**b. What percentage of math test takers from this state scored between 600 and 648?**

- **Diagram Description:** The normal distribution curve shows scores ranging from 266 to 842 on the x-axis, with vertical lines at 600 and 648. The area under the curve between these two points is shaded, depicting those scoring between 600 and 648.

- **Answer:** The exact percentage is not provided in the text extract; however, space is given to fill in the calculated value. (Round to one decimal place as needed.)
Transcribed Image Text:According to a recent report on a standardized test, the average math score for students in a particular state was 554. The scores are normally distributed with a standard deviation of 96. Answer the following questions with the labeled and shaded Normal curve for each part. **a. The percentage that scored 600 or more is:** - **Diagram Description:** The normal distribution curve shows scores ranging from 266 to 842 on the x-axis, with a vertical line at 600. The area under the curve from 600 to the right is shaded, representing those scoring 600 or more. - **Answer:** 31.6% (Rounded to one decimal place as needed.) **b. What percentage of math test takers from this state scored between 600 and 648?** - **Diagram Description:** The normal distribution curve shows scores ranging from 266 to 842 on the x-axis, with vertical lines at 600 and 648. The area under the curve between these two points is shaded, depicting those scoring between 600 and 648. - **Answer:** The exact percentage is not provided in the text extract; however, space is given to fill in the calculated value. (Round to one decimal place as needed.)
Expert Solution
Step 1

given data,normal distribution μ=554σ=96we have to find out the given probabilities 

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