Thank you for visiting A population of values has a normal distribution with tex mu 35 9 tex and tex sigma 98 2 tex You intend to draw a. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The value that separates the bottom 15% of the population from the top 85% is approximately -66.7, while the sample mean that separates the bottom 15% from the top 85% is approximately 9.6.
The value that separates the bottom 15% of values from the top 85% in a normal distribution can be found using the z-score associated with the 15th percentile. Using a standard normal distribution table, the z-score associated with 15% is approximately -1.036. Therefore, you can use the formula X = μ + Zσ, where X is the value you're trying to find, μ is the mean, Z is the z-score, and σ is the standard deviation. After plugging in the supplied values, X = 35.9 - 1.036 * 98.2 = -66.7 (approximately).
Next, we need to find the sample mean separating the bottom 15% from the top 85%. For this, we will again use the z-score method, but adjust the standard deviation because the standard deviation of the sampling distribution of the mean is σ/√n (Central Limit Theorem). Thus, X = μ + z(σ/√n) = 35.9 - 1.036 * (98.2/√21) = 9.6 (approximately).
Learn more about Z-score Method here:
https://brainly.com/question/34934906
#SPJ11
Thank you for reading the article A population of values has a normal distribution with tex mu 35 9 tex and tex sigma 98 2 tex You intend to draw a. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
