Find z such that 20.3% of the standard normal curve lies to the right of z.
0.831
0.533
-0.533
-0.257
0.257
To find the z-score such that 20.3% of the standard normal curve lies to the right of it, we can use a standard normal distribution table or a calculator with a built-in normal distribution function.
First, let's find the z-score that corresponds to the left tail of 20.3%. Since the normal curve is symmetric, we can also find the z-score for the right tail (1 - 0.203 = 0.797).
Using a standard normal distribution table, we can find the z-score corresponding to 0.797. The closest value is 0.841, which corresponds to the left tail of 0.7995. However, this is slightly larger than 0.797. Therefore, we need to find the z-score that corresponds to a smaller left tail value.
Looking in the table, we find that the z-score for a left tail of 0.7967 is approximately 0.84. Since this is still slightly larger than the 0.797 we are looking for, we can estimate that the z-score we are looking for is between 0.833 and 0.834.
Out of the given options, the closest value to 0.833 or 0.834 is 0.831. Therefore, the answer is 0.831.