Understanding Z-Scores with Desmos

This video tutorial demonstrates how to determine z-scores using Desmos. It explains the concept of z-scores with areas to the right and left, and provides step-by-step instructions on using Desmos to find z-scores for specific areas, such as 0.1 and 0.025. The tutorial includes verification steps to ensure accuracy of the calculated z-scores.

What does Z sub alpha represent in statistics?

• A Z-score with an area of 0 to its left

• A Z-score with an area of alpha to its right

• A Z-score with an area of alpha to its left

• A Z-score with an area of 1 to its right

What is the first step to find Z-scores using Desmos?

• Enter the area to the left

• Open the Desmos keypad

• Click on the graphing calculator

• Select inverse CDF

Which function is used in Desmos to calculate Z-scores?

• Inverse CDF

• Normal distribution

• Mean calculation

• Standard deviation

For Z sub 0.1, what area do you enter in the inverse CDF function?

• 0.1

• 1.0

• 0.9

• 0.05

How do you verify the Z-score for Z sub 0.1 in Desmos?

• By checking the area to the left is 0.1

• By checking the area to the right is 0.9

• By checking the area to the right is 0.1

• By checking the area to the left is 0.05

What is the approximate Z-score for Z sub 0.1?

• 1.9600

• 1.2816

• 0.0250

• 0.9750

What area to the left is used for calculating Z sub 0.025?

• 0.975

• 0.1

• 0.9

• 0.025

What is the approximate Z-score for Z sub 0.025?

• 0.0250

• 0.9750

• 1.9600

• 1.2816

How do you verify the Z-score for Z sub 0.025 in Desmos?

• By checking the area to the left is 0.1

• By checking the area to the right is 0.975

• By checking the area to the left is 0.025

• By checking the area to the right is 0.025

What is the significance of verifying Z-scores in Desmos?

• All of the above

• To ensure the area to the right is correct

• To ensure the area to the left is correct

• To confirm the Z-score calculation