For a normal distribution, what z-score value separates the lowest 25% of the scores from the rest of the distribution

Z = -0.675.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What z-score value separates the lowest 25% of the scores from the rest of the distribution

This is Z which has a pvalue of 0.75, so Z = -0.675.

.25

step-by-step explanation: