Question

(a) For a normal distribution, find the z-score that cuts off the bottom 60.94% of all the z-scores. Round to 2 decimal places after the decimal point.

Answer 1

0.28

Explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

`z=(x-\mu)/(\sigma)\\ \\\mu=mean,\sigma=standard\ deviation,x=raw \ score`

From the normal distribution table, the z score that corresponds to the bottom 60.94% (0.6094) = 0.28.