Use the TI-84 Plus calculator to find the *z*-score for which the area to its left is 0.73. Round the answer to two decimal places.

To find the \( z \)-score for which the area to its left is 0.73 using the TI-84 Plus calculator, follow these steps:

1. **Turn on the calculator**: Press the `ON` button.
2. **Access the Inverse Normal function**: Press the `2nd` button, then press the `VARS` button to access the `DISTR` menu.
3. **Select `invNorm`**: Scroll down to `3:invNorm(` and press `ENTER`.
4. **Enter the area to the left**: Type `0.73`, then close the parenthesis `)`.
5. **Calculate the \( z \)-score**: Press `ENTER`.

The calculator will display the \( z \)-score. 

Following these steps, the \( z \)-score corresponding to an area of 0.73 to its left is approximately \( z = 0.61 \) (rounded to two decimal places).

Would you like more details or have any questions?

Here are 5 questions you might want to ask next:
1. How do I find the area under the curve for a specific \( z \)-score on the TI-84 Plus?
2. How do I calculate a probability using the normal distribution on the TI-84 Plus?
3. Can you explain how to use the `normalcdf` function on the TI-84 Plus?
4. What is the relationship between \( z \)-scores and the standard normal distribution?
5. How do I interpret \( z \)-scores in a statistical context?

**Tip:** Remember that the area under the normal curve to the left of a \( z \)-score represents the cumulative probability up to that \( z \)-score.

Learn how to find the z-score for which the area to its left is 0.73 using the TI-84 Plus calculator. This problem involves using the properties of the normal distribution and the z-score formula. Suitable for advanced high school students.

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