Calculating Areas Under Normal Curves

This tutorial demonstrates how to find the area under a standard normal curve using a TI-84 calculator. It covers three examples: finding the area to the left of Z = 0.23, the area to the right of Z = 1.36, and the area between Z = 1.23 and Z = 1.3. The tutorial explains using the normal CDF function and emphasizes verifying the results to ensure they make sense in the context of the entire curve.

What is the primary tool used in this tutorial to find areas under the standard normal curve?

• TI-84 Calculator

• Excel Spreadsheet

• Casio Calculator

• Python Script

Which function is used on the TI-84 to find the area under the curve?

• standard deviation

• inverse normal

• normal CDF

• normal PDF

When finding the area to the left of a z-value, what is used as the lower bound?

• -10,000

• 1

• 10,000

• 0

What z-value is used as the upper bound when finding the area to the left of z = 0.23?

• 10,000

• -0.23

• 1.36

• 0.23

What is the calculated area to the left of z = 0.23?

• 0.500

• 0.794

• 0.591

• 0.913

What is the significance of using a very small number like -10,000 in calculations?

• It approximates negative infinity

• It represents zero

• It is a default value

• It simplifies calculations

What is used as the upper bound when finding the area to the right of z = 1.36?

• -10,000

• 1.36

• 10,000

• 0

What is the calculated area to the right of z = 1.36?

• 0.794

• 0.591

• 0.913

• 0.500

What is the purpose of using a large number like 10,000 in the calculations?

• It represents zero

• It simplifies calculations

• It approximates positive infinity

• It is a default value

Which two z-values are used to find the area between them in the third example?

• 0 and 1

• 1.36 and 10,000

• 0.23 and 1.36

• 1.23 and 1.3