Statistics z score

Question

Find the z-score for a normal measurement that satisfies each of the following statements The closest point z with 44 percent of the observations falling above it.

Answer 1

If 44% fall above the point, then it must be the 56th percentile (56% falls below that point)

100-44 = 56.

There are multiple ways to find the z-score.

One common way is to use a z table (like https://www.ztable.net/)

We want to look up .5600 (the left tail) in the body of the table and find the corresponding z-score

Since the 56th percentile is more than 50%, we will be looking for a positive z-score, so use the "positive z" table.

The closest # I see is ".55966" (the # can be either above or below your target, just find the closest #).

The corresponding z-score is +0.15 (note it's in the 0.1 row and the .05 column, put them together and you get 0.15).

Or, if you teacher allows, you can using a graphing calculator to find the z-score using the 2nd Vars feature