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

[1] The twins had opposite natures: the right-handed twin was truthful, and the left-handed twin was deceitful. [2] The right-handed twin always did the right
Europeans settle in new world, plantations and mines established africans brought to new world
bacteria that don´t respond to antibiotics
Mr. Jack divided his money in the ratio 4:2 between Jon and Jack . Jon got the smaller amount of 1,256 . How much did Jack receive
Decide whether the underlined word below is a preposition, interjection or conjunction. during the day’s work.
Does the final on the learning goddessey ( u.s history A )count as a grade? if not, can i just answer randomly?
How did trade benefit both Egypt and Nubia?
5x-3y=22 -4x+y=-19 and 2x+6y=16 3x-5y=-18 please help me
just before taking her bite Sandra noticed the fly in her potatoes where does the comma go
The major portion of congressional business is handled by the __________ of the House and Senate. A. leaders B members C accountants D standing committees