Understanding Z Scores and TI-84 Functions

This video tutorial demonstrates how to use the TI-84 calculator to find the probability of a Z score being greater than a given value in a standard normal distribution. It explains the concept of the area under the curve, how to use the normal CDF function on the calculator, and how to set the parameters for the calculation. The tutorial concludes with calculating the probability and interpreting the result.

What is the primary function of the TI-84 calculator discussed in this tutorial?

• To calculate the mean of a data set

• To find the probability of a Z score in a standard normal distribution

• To solve linear equations

• To graph polynomial functions

In the context of this tutorial, what does the area under the curve represent?

• The median of the distribution

• The probability that Z is greater than a given value

• The standard deviation

• The mean of the distribution

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

• Statistical plot feature

• Matrix feature

• Normal CDF feature

• Graphing feature

What values are set for mu and sigma when using the normal CDF feature for a standard normal distribution?

• Mu = 1, Sigma = 0

• Mu = 1, Sigma = 1

• Mu = 0, Sigma = 0

• Mu = 0, Sigma = 1

What is the lower bound Z score used in this tutorial?

• 0.5

• -0.5

• 1.0

• -1.0

What is the suggested upper bound Z score for the calculation?

• 1,000

• 99,999

• 10

• 3

What is the significance of setting the upper bound Z score to a large number like 99,999?

• It ensures the calculation covers the entire right tail of the distribution

• It limits the calculation to a small range

• It is used to calculate the mean

• It is a default setting in the calculator

What is the approximate probability that Z is greater than -0.5 as a decimal?

• 0.315

• 0.850

• 0.6915

• 0.500

How is the probability that Z is greater than -0.5 expressed as a percentage?

• 85%

• 69.15%

• 31.5%

• 50%

What is the final step after entering all values in the TI-84 calculator?

• Pressing the graph button

• Pressing enter to calculate the probability

• Turning off the calculator

• Saving the calculation