TI-84 Graphing Calculator and Z-Scores

This video tutorial explains how to use the TI-84 graphing calculator to find probabilities related to Z-scores in a normal distribution. It covers calculating the probability of a data value being below, above, or between given Z-scores using the normal CDF function on the calculator. The tutorial provides step-by-step instructions and examples to illustrate these concepts.

What is the primary function of the TI-84 graphing calculator as introduced in the lesson?

• To calculate derivatives

• To find probabilities related to Z-scores in a normal distribution

• To solve algebraic equations

• To perform matrix operations

Which feature of the TI-84 calculator is used to find the probability of a Z-score being below a certain value?

• Normal PDF

• Standard Deviation

• Inverse Normal

• Normal CDF

What is the exaggerated lower bound Z-score used in the example for finding probability below a Z-score?

• 0

• -1.4

• -99,999

• -3

How do you calculate the probability of a Z-score being above a certain value using the TI-84?

• Use the normal PDF directly

• Use the standard deviation function

• Use the normal CDF and subtract from 1

• Use the inverse normal function

What is the upper bound Z-score used in the example for finding probability above a Z-score?

• 0

• -0.5

• 1.4

• 2.1

Which two Z-scores are used in the example to find the probability between them?

• -0.5 and 2.1

• 1.4 and 2.1

• 0.5 and 2.1

• 0 and 1

What is the approximate probability of a Z-score being between -0.5 and 2.1?

• 0.808

• 0.5

• 0.6736

• 0.9192

What is the purpose of leaving off mu and sigma when using the TI-84 for Z-scores?

• They are always zero

• They are not needed for any calculations

• They default to 0 and 1 for standard normal distribution

• They are only used for inverse calculations

What is the cumulative area under the standard normal distribution used for?

• Calculating mean

• Finding probabilities

• Determining standard deviation

• Solving equations

What is the final step in using the TI-84 to find probabilities between two Z-scores?

• Pressing the graph button

• Entering the Z-scores and closing parenthesis

• Calculating the mean

• Using the inverse function