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How can you calculate the margin of error using a TI- 84 Plus CE calculator?
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Step 1:: First, you need to calculate the standard deviation (s) and the sample size (n) for your data set.
where $x_i$ represents each data point and $\bar{x}$ is the sample mean.
The formula for the standard deviation is:
Step 2:: After calculating the standard deviation, you can now calculate the margin of error (E) using the following formula:
where $z$ is the z-score corresponding to the desired confidence level.
For a 95% confidence level, the z-score is approximately 1.96.
Step 3:: To calculate the standard deviation and the margin of error on a TI- 84 Plus CE calculator, follow these steps:
Step 4:
Press the STAT key and select 1 -Var Statistics from the menu.
Step 5:
Enter your data set into the calculator by pressing the ENTER key after each data point.
Step 6:
After entering all data points, press the STAT key again and select Calculate from the menu.
Step 7:
Choose 1-Var Stats to display the sample statistics, including the sample mean ($\bar{x}$) and the sample standard deviation (s).
Step 8:
Now, press the STAT key and select Edit... from the menu.
Step 9:
Enter the number of data points (n) in the L^1 list and press ENTER.
Step 10:
Press the STAT key and select Calculate from the menu.
Step 11:
Choose n to display the sample size.
Step 12:
Now, press the VARS key and select 2 -nd 0 (Statistics) from the menu.
Step 13:
Select 6 (z-score) and enter the desired confidence level (e.g., 1.96 for a 95% confidence level).
Step 14:
Press the MATH key and select 5 (invNorm) from the menu.
Step 15:
Enter the z-score and press ENTER to calculate the corresponding margin of error (E).
Final Answer
After following the steps above, you will have calculated the margin of error (E) for your data set using a TI- 84 Plus CE calculator.
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