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

Select all that apply. Scientific words often come from ____. German words Latin words Spanish words Greek words
Increasing global demands for energy is
What is the capital of Nevada? A. Carson City B. Topeka C. Springfield D. Dover
scientists have estimated that the area of Earth covered by water is 70.98 percent ,or 362,031,100 km^2.Express this value in scentific notation
Kenya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive?
Which compound sentence is not correctly punctuated? a. His new watch is self-winding; it still needs a battery. b. His new watch is self-winding, but it still
What is blogging A. Online Journaling B. Posting in photo galleries C. Uploading movies online D. sharing photos on a social network Please help worth 10 poi
Most Buddhists are found CLOSEST to which letter on the map? A) A B) B C) D D) E
The earth exerts a gravitational force of 500 N on an object. What is the mass of the object in kg
10 veces más que 1 centena son