How do you find the z score such that the area under the standard normal curve to the left is 0.93?

To find the z score corresponding to an area of 0.93 under the standard normal curve, you can follow these steps:

1. Look up the value of 0.93 in the standard normal distribution table (also known as the z table). This table provides the cumulative area from the left up to a certain z score.
2. Find the closest value to 0.93 in the table. You may not find exactly 0.93, but look for the nearest value.
3. Once you locate the closest value, trace back to the corresponding z score that is listed in the table.

For example, if you look up 0.93, you may find that it is closest to 0.9292, which corresponds to a z score of approximately 1.81. Thus, the z score such that the area to the left is 0.93 is approximately 1.81.

Another way to find the z score is to use statistical software or a calculator that includes functions for normal distribution calculations. Using these tools, you can input the cumulative probability of 0.93 to directly obtain the z score.