The mean score for a standardized test is 1700 points. the results are normally distributed with a standard deviation of 75 points. what is the z score test result of 1300 points?

z score is 1.33 approximately.

Step-by-step explanation:

Given:

mean score= 1700  points

standard deviation= 75 points

value of interest =1300 points

To Find:

z score=?

Solution:

z-score:

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.

The formula to solve for z-scores is:

------------------------------------(1)

where,

X is the value of interest,

μ is the mean of the normal distribution,

σ is the standard deviation of the normal distribution.

Substituting the values in the equation (1), we have

use a calculator or look up

Step-by-step explanation: