Suppose ACT Science scores are normally distributed with a mean of 20.8 and a standard deviation of 5.2. A university plans to s

Question

3 years ago

12

Suppose ACT Science scores are normally distributed with a mean of 20.8 and a standard deviation of 5.2. A university plans to s

end letters of recognition to students whose scores are in the top 12%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.

Mathematics

2 answers:

erik [133] · Answer 1 · 2022-10-15T13:19:24+03:00

erik [133]3 years ago

3 0

Answer:

20.854

Step-by-step explanation:

Pachacha [2.7K] · Answer 2 · 2022-10-15T15:07:15+03:00

Pachacha [2.7K]3 years ago

3 0

Answer:

Hello,

Answer 26.9

Step-by-step explanation:

$z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}$