Question 24 A population of values has a normal distribution with random sample of size n = 228. = 39.2 ando= 66.6. You intend to draw a Find P, which is the score separating the bottom 37% scores from the top 63% scores. 37 P37 (for single values) = %3D Find P,-, which is the mean separating the bottom 37% means from the top 63% means. 37 P37 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. ************NOTE************ round your answer to ONE digit after the decimal point! *********** Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Ouestion Holn:
Question 24 A population of values has a normal distribution with random sample of size n = 228. = 39.2 ando= 66.6. You intend to draw a Find P, which is the score separating the bottom 37% scores from the top 63% scores. 37 P37 (for single values) = %3D Find P,-, which is the mean separating the bottom 37% means from the top 63% means. 37 P37 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. ************NOTE************ round your answer to ONE digit after the decimal point! *********** Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Ouestion Holn:
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![### Understanding Normal Distribution: Sample Problem
A population of values exhibits a normal distribution, characterized by:
- Mean (\(\mu\)) = 39.2
- Standard deviation (\(\sigma\)) = 66.6
You intend to draw a random sample of size \(n = 228\).
**Problem Details:**
1. **Find \(P_{37}\)**: This determines the score separating the bottom 37% of scores from the top 63% in the distribution.
- \(P_{37}\) (for single values) = [Input required]
2. **Find \(P_{37}\)**: This determines the mean separating the bottom 37% of means from the top 63% of means for sample means.
- \(P_{37}\) (for sample means) = [Input required]
**Instructions:**
- Enter your answers as numbers accurate to 1 decimal place.
- Round answers to **one digit** after the decimal point.
- Answers calculated with either exact z-scores or z-scores rounded to three decimal places are acceptable.
---
**Note**: This exercise helps in understanding percentile ranks and their significance in statistics, especially in a normal distribution context. It involves calculating z-scores and understanding sample means.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3911c819-e187-49b9-9fcc-b89884a563f1%2F324cf739-df71-4a64-989a-4061530cfab4%2Fzostvcb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Normal Distribution: Sample Problem
A population of values exhibits a normal distribution, characterized by:
- Mean (\(\mu\)) = 39.2
- Standard deviation (\(\sigma\)) = 66.6
You intend to draw a random sample of size \(n = 228\).
**Problem Details:**
1. **Find \(P_{37}\)**: This determines the score separating the bottom 37% of scores from the top 63% in the distribution.
- \(P_{37}\) (for single values) = [Input required]
2. **Find \(P_{37}\)**: This determines the mean separating the bottom 37% of means from the top 63% of means for sample means.
- \(P_{37}\) (for sample means) = [Input required]
**Instructions:**
- Enter your answers as numbers accurate to 1 decimal place.
- Round answers to **one digit** after the decimal point.
- Answers calculated with either exact z-scores or z-scores rounded to three decimal places are acceptable.
---
**Note**: This exercise helps in understanding percentile ranks and their significance in statistics, especially in a normal distribution context. It involves calculating z-scores and understanding sample means.
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