Question

Find the z-score such that the area under the standard normal curve to the left is 0.69. Is the Z-score such that the area under the curve to the left is 0.69? (Round to two decimal places as needed).

Answer 1

To find the z-score with an area of 0.69 to the left under a standard normal curve, we use a z-table and find that the z-score is approximately 0.50.

Step-by-step explanation:

To find the z-score such that the area under the standard normal curve to the left is 0.69, we will use a z-table or statistical software. First, we locate the closest area to 0.69 in the z-table, which typically represents the cumulative area from the far left up to the z-score. In this case, a z-score of approximately 0.50 corresponds to an area of 0.6915. Since 0.69 is slightly less than that, we round to two decimal places to find a z-score closer to 0.50. Therefore, the z-score for a left-tail area of 0.69 is approximately 0.50.