Find the z-score such that the area under the standard normal curve to the left is 0.82.

______ is the z-score such that the area under the curve to the left is 0.82. (round 2 decimal places as need)

To find the z-score such that the area under the standard normal curve to the left is 0.82, you can use a standard normal distribution table or a statistical calculator.

Using a standard normal distribution table:
1. Look for the value closest to 0.82 in the body of the table. In this case, the closest value is typically found in the row that starts with "0.8" and the column that ends with "0.02".
2. Identify the corresponding z-score. The row represents the first digit(s) of the z-score, and the column represents the second digit(s). Combining the row and column values gives you the corresponding z-score.

However, since the standard normal distribution table typically provides probabilities for values to the left of the z-score, you often need to adjust the value obtained in the table to match the given criteria.

In this case, the closest value to 0.82 in the table might be, for example, 0.8159. However, this represents the area to the left of the z-score, not to the right as requested. To find the z-score for the area to the right, subtract the value from 1: 1 - 0.8159 = 0.1841.
Therefore, the z-score corresponding to an area to the left of 0.82 is approximately -0.86 (after rounding to 2 decimal places).

Using a statistical calculator or software, you can directly find the z-score given the area.
For example, if you use the cumulative distribution function (CDF) in a calculator or software for a standard normal distribution with a left-tailed probability of 0.82, it will give you the z-score directly, which is approximately -0.86 (after rounding to 2 decimal places).

0.7