Finding Areas Under the Normal Curve

This video tutorial explains how to find areas under the standard normal curve using Z-scores. It covers finding areas to the left and right of both positive and negative Z-scores, as well as the area between two Z-scores. The tutorial demonstrates using Z-score tables and highlights the symmetry of the normal distribution to simplify calculations.

What is the primary focus of this video tutorial?

• Finding the area under the standard normal curve using z-scores

• Learning about probability distributions

• Calculating the mean of a dataset

• Understanding the concept of standard deviation

When finding the area to the left of a negative z-score, what is the first step?

• Calculate the mean

• Use a calculator

• Draw a picture of the standard normal curve

• Find the standard deviation

What is the z-score value used in the first example for finding the area to the left?

• -2.05

• 1.32

• 2.05

• -1.32

How can you find the area to the left of a negative z-score if you only have positive z-values?

• Subtract from 1

• Use the symmetry of the curve

• Use a different table

• Multiply by 2

What is the area to the left of z = 2.05?

• 0.0934

• 0.9798

• 0.0158

• 0.0708

To find the area to the right of a negative z-score, what operation is performed?

• Add the area to the left

• Divide the area by 2

• Subtract the area from 1

• Multiply the area by 2

What is the alternative method for finding the area to the right of a negative z-score?

• Calculate the mean

• Look up the positive z-score

• Use a different z-table

• Use a calculator

What is the area to the right of z = 1.47?

• 0.9798

• 0.0934

• 0.9842

• 0.0708

How do you find the area between two z-scores?

• Divide the larger area by the smaller area

• Multiply the areas of both z-scores

• Subtract the smaller area from the larger area

• Add the areas of both z-scores

What is the area between z = -2.33 and z = 1.78?

• 0.9526

• 0.0934

• 0.0708

• 0.9842