davidkim618p29ysd davidkim618p29ysd
  • 01-08-2020
  • Mathematics
contestada

The mean of normally distributed test scores is 82 and the standard deviation is 5. If there are 241 test scores in the data sample, how many of them were in the 92 to 97 range?

Respuesta :

MathPhys
MathPhys MathPhys
  • 01-08-2020

Answer:

5

Step-by-step explanation:

Find the z-scores.

z = (x − μ) / σ

z₁ = (92 − 82) / 5

z₁ = 2

z₁ = (97 − 82) / 5

z₂ = 3

Find the probability:

P(92 < X < 97)

P(2 < Z < 3)

P(Z < 3) − P(Z < 2)

0.9987 − 0.9772

0.0215

Find the number of tests:

0.0215 (241) ≈ 5

Answer Link

Otras preguntas

what happens to the speed of molecules in water vapor when it condenses to a form of liquid​
What is the quotient?
40 POINTS! PLEASE HELP THANK YOU SO MUCH! What are the connections between structure and function for a specific human organ system?
Help! I have no idea about these questions! munching a plum on the street a paper bag of them in her hand They taste good to her They taste good to her. T
Find the length of MP. round to the nearest hundredth.
HELP PLEASE!!! 45 POINTS AND BRAINLIEST FOR THE FIRST CORRECT ANSWER!!!!A person gets on a Ferris wheel at the starting point. The starting point is 15 feet off
Which expressions are equivalent to the expression 7(5 + m) – 8? Check all that apply. 7m + 27 34m 35 + m – 8 35 + 7m – 8 75 + m – 8
What is the irrational number
Someone answer this please
Please help ASAP 30 pointsss