Answer to Question #299554 in Statistics and Probability for PHOEBE

Question

On the 3rd quarter examination in Statistics, the population mean was 70 and the population standard deviation was 9. Determine the standard score of a student who got a score of 88 assuming that the scores are normally distributed.

Answer 1

If $X\sim N(\mu, \sigma^2),$ then $Z=\dfrac{X-\mu}{\sigma}\sim N(0, 1).$

Given $\mu=70, \sigma=9.$

$$Z=\dfrac{88-70}{9}=2$$