Answer:
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:
[tex]z=\frac{X-\mu}{\sigma}[/tex]------------------------------------(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
[tex]z=\frac{1800-1700}{75}[/tex]
[tex]z=\frac{100}{75}[/tex]
[tex]z=\frac{4}{3}[/tex]
[tex]z \approx 1.33[/tex]
