Use technology or a z-distribution table to find the indicated area. suppose the distances from the center of a target that arro
ws strikes are normally distributed with a mean of 20 cm and a standard deviation of 6.4 cm. approximately 25% of the arrows are further than what distance from the center?
We work backward from the probability given to us. We look this probability up in a z-table (http://www.z-table.com). Since it does not imply directionality, the score could be above or below the mean distance from center. We divide 25%, 0.25, by 2 and get 0.125. We look up 0.125 in the z-table and find that the score associated with it is -1.15.
The formula for a z-score is z=(X-μ)/σ. Substituting our known information we have