1. The value 0.9979 is typically found in statistical tables, such as the standard normal distribution (Z) table.
2. It represents the cumulative probability up to a certain Z-score.
3. For example, if you look up a Z-score of approximately 2.75 in the Z-table, you will find a cumulative probability close to 0.9979.
4. This means that about 99.79% of the data lies below that Z-score in a standard normal distribution.
5. To confirm, you can use the formula for the cumulative distribution function (CDF) of the standard normal distribution:
$$\Phi(z) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^z e^{-\frac{t^2}{2}} dt$$
6. Using statistical software or a calculator, inputting $z=2.75$ will give approximately 0.9979.
7. So, 0.9979 is a cumulative probability value corresponding to a Z-score near 2.75 in the standard normal distribution.
Z Table Value 8Fd7Ec
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.