Question

Find the standard 2-score that corresponds to the following. (Give your answers correct to two decimal places.) The area to the right of this value is 0.75.

Answer 1

Total area under the standard normal curve =

Area to the right of the required z-score =

Hence, area to the left of the required z-score =

1-0.75 = 0.25

From normal distribution table, value of z-score, such that area under the curve to the left of it equal to 0.25, is given by:

190-=

Hence, required z-score

190-=