Question

1. Find z so that 60 percent of the standard normal curve lies to the left.

2. Find z so that 55 percent of the standard normal curve is to the right.
3. Find z so that 25 percent of the standar normal curve is to the right.
4. Find z so that 45 percent of the standard normal curve lies to the right.

Answer 1

Answer:To find the z-scores for the given percentages of the standard normal curve, you can use a standard normal distribution table or a calculator. Here are the values for the specific percentiles you mentioned:

To find the z-score for 60% to the left, you're essentially looking for the z-score that corresponds to the 60th percentile. You can use a standard normal distribution table or a calculator to find this value. For the 60th percentile, z ≈ 0.2533.

To find the z-score for 55% to the right, you're looking for the z-score that corresponds to the 45th percentile (since 55% to the right means 45% to the left). So, z ≈ -0.1257.

To find the z-score for 25% to the right, you're looking for the z-score that corresponds to the 75th percentile (since 25% to the right means 75% to the left). So, z ≈ 0.6745.

To find the z-score for 45% to the right, you're looking for the z-score that corresponds to the 55th percentile (since 45% to the right means 55% to the left). So, z ≈ -0.1257.

These values can be found using a standard normal distribution table or a calculator that can perform standard normal distribution calculations.