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 does it mean to think like a historian
please help ASAP will give brainlsit An example of International System of Measurement (SI) unit is: A)pound B)mile D)liter D)ounce
Least to greatest 3/4, 0.5 and 14/5
a. On July 31, the company’s Cash account has a $25,860 debit balance, but its July bank statement shows a $27,903 cash balance. b. Check No. 3031 for $1,410 an
please prove this...​
Find M ABC if the line BD bisects ABC and given m ABD = 5x and m DBC = 3x + 10​
how many possible combinations are there for a dinner party that has a choice of soup salad or fruit cocktail second choice is chicken,beef,vegetarian or lamb t
Who was Salahuddin Ayubi? Write a note on his conquests and personality.
Which of the following are regulated by consumer protection laws? A. Waste removal and pollution B. Commercial zoning violations C. Credit, advertising, and In
Interacting with others while exercising is beneficial to social health because it allows a person to __________. A. feel more alert B. develop better communica