Thank you for visiting Scores on an English test are normally distributed with a mean of 37 6 and a standard deviation of 7 6 Find the score that. 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 score that separates the top 59% from the bottom 41% is 39.3.
To solve this problem, we need to find the z-score that separates the top 59% from the bottom 41%, and then use the z-score formula to find the corresponding raw score.
The z-score for the top 59% is the z-score that corresponds to a cumulative area of 0.59 to the left of it. We can find this using a standard normal table or a calculator:
z = invNorm(0.59) = 0.24
The z-score for the bottom 41% is the z-score that corresponds to a cumulative area of 0.41 to the left of it:
z = invNorm(0.41) = -0.24
The score that separates these two z-scores can be found using the z-score formula:
z = (x - μ) / σ
where x is the raw score, μ is the mean, and σ is the standard deviation. Solving for x, we get:
x = z * σ + μ
Plugging in the values we found earlier, we get:
x = 0.24 * 7.6 + 37.6 = 39.3
Therefore, the score that separates the top 59% from the bottom 41% is 39.3.
Learn more about score here:
https://brainly.com/question/16788678
#SPJ11
Thank you for reading the article Scores on an English test are normally distributed with a mean of 37 6 and a standard deviation of 7 6 Find the score that. 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
