Question

The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a student scores more than 700 on the standardized test?

Answer 1

34.1% is the correct answer

Answer 2

Answer: 0.8413

Explanation:

Given : The average score on a standardized test is
`\mu=\text{750 points }`

Standard deviation :
`\sigma=50\text{ points}`

Let x be the score of randomly selected student.

The z-score for standardized test :-

`z=(x-\mu)/(\sigma)`

For x= 700

`z=(700-750)/(50)=-1`

The p-value =
`P(x>700)=P(z>-1)`

`1-P(z<1)=1-0.1586553=0.8413447\approx0.8413`

Therefore, the probability that a student scores more than 700 on the standardized test = 0.8413