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Use the TI-84 calculator to find the 2-score for which the area to its left is 0.12. Round the answer to two decimal places.

The Z-score for the given area is____

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Final answer:

To find the Z-score associated with a cumulative area of 0.12 on a TI-84 calculator, use the invNorm function by entering invNorm(0.12), and the calculator will display the Z-score rounded to two decimal places.

Step-by-step explanation:

To find the Z-score for which the area to its left is 0.12 using a TI-84 calculator, you should use the invNorm function. This function will give you the Z-score that corresponds to a given cumulative probability from the standard normal distribution. Since the area to the left is the cumulative probability, you would enter invNorm(0.12) to find the Z-score.

To do this on a TI-84 calculator, follow these steps:

  1. Press the '2nd' button, then 'VARS' to access the distribution menu.
  2. Scroll down to select '3:invNorm('. Alternatively, you can type '3' to select it directly.
  3. Enter the desired cumulative probability, which is 0.12 in this case, so you input '0.12'.
  4. Close the parentheses by typing ')' and press 'ENTER'.

The calculator will display the Z-score rounded to two decimal places. This Z-score is the number of standard deviations the value is from the mean in a standard normal distribution.

User Joarder Kamal
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