Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Suppose ACT Science scores are normally distributed with a mean of 21.2 and a standard deviation of 4.7. A university plans to admit students whose scores are in the top 35%. What is the minimum score required for admission? Round your answer to the nearest tenth, if necessary.

Question

High School

Answer :

Qwmonkey Qwmonkey · Answer 1 · 2024-07-01T23:18:08-04:00

The minimum score required for admission is 22.90.

Here we have to find the minimum score required for admission.

Z-score:

Z-score measures how much standard deviation the measure is from the mean.

The formula for z-score:

Z = X- μ/ б

mean(μ) = 21.2

standard deviation (б) = 4.7

University plans to admit students whose scores are in the top 35%.

Top 35%, so at least 100- 35 = 65th percentile. The 65th percentile is the value of X when Z has a p-value of 6.5. So it is X when Z = 0.385

So putting the value:

0.385 = X - 21.2 / 4.7

X = 22.9095

So the minimum score is 22.90.

To know more about the z-score refer to the link given below:

https://brainly.com/question/25638875

#SPJ4