Understanding Z-Scores with TI-84

This video tutorial explains how to find a Z-score using the newer version of the TI-84 calculator. It covers the concept of standard normal distribution and how the area under the curve relates to probability. The tutorial provides a step-by-step guide on using the inverse norm function on the TI-84 to calculate the Z-score, given a specific probability. The video concludes with a practical example and a brief overview of the process.

What is the purpose of finding a Z-score using the TI-84 calculator?

• To calculate the mean of a dataset

• To determine the probability of a Z-score being less than a constant

• To find the median of a dataset

• To calculate the standard deviation

In a standard normal distribution, what does a probability of 0.7853 represent?

• The total area under the curve

• The area to the right of the Z-score

• The area to the left of the Z-score

• The area between two Z-scores

Why is the area under the curve important in a standard normal distribution?

• It determines the mean of the distribution

• It shows the range of possible Z-scores

• It indicates the probability of a Z-score

• It represents the total number of data points

What function on the TI-84 calculator is used to find the Z-score for a given probability?

• Normal PDF

• Normal CDF

• Standard Deviation

• Inverse Norm

What does the inverse norm function return when used with a standard normal distribution?

• The standard deviation of the distribution

• The mean of the distribution

• The Z-score corresponding to a given probability

• The probability of a given Z-score

What is the first step in using the TI-84 to find a Z-score?

• Graph the normal distribution

• Enter the mean and standard deviation

• Select the inverse norm function

• Calculate the probability

When using the inverse norm function, what values should be entered for mean and standard deviation to find a Z-score?

• Mean = 1, Standard Deviation = 0

• Mean = 1, Standard Deviation = 1

• Mean = 0, Standard Deviation = 1

• Mean = 0.5, Standard Deviation = 0.5

What is the significance of setting mu to zero and sigma to one in the TI-84 calculator?

• It finds the mode

• It standardizes the distribution

• It adjusts the range

• It calculates the median

What is the approximate Z-score for a probability of 0.7853?

• 0.7902

• 0.7853

• 0.7002

• 0.8002

What will be discussed in the next example after finding Z-scores less than C?

• Z-scores equal to C

• Z-scores greater than C

• Z-scores less than or equal to C

• Z-scores between two values