ind two $$ z $$ values so that $$ 50 \% $$ of the middle area is bounded by them. Use 9 The Standard Normal Distribution Table and enter the answers rounded to 2 ecimal places, separated by a comma if needed. $$ z= $$

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To find the two $$ z $$ values that bound the middle $$ 50\% $$ of the area under the standard normal curve, we note that:

1. The total area is $$ 100\% $$. If $$ 50\% $$ is in the middle, then $$ 25\% $$ is in each tail.
2. This means we need to find:
   - The $$ z $$ value where the cumulative probability is $$ 0.25 $$.
   - The $$ z $$ value where the cumulative probability is $$ 0.75 $$.

Since the standard normal distribution is symmetric, the $$ z $$ value for $$ P(Z < z) = 0.25 $$ will be the negative of the $$ z $$ value for $$ P(Z < z) = 0.75 $$.

Using a Standard Normal Distribution table or calculator:

- The $$ z $$ value corresponding to $$ P(Z < z) = 0.25 $$ is approximately $$ -0.67 $$.
- The $$ z $$ value corresponding to $$ P(Z < z) = 0.75 $$ is approximately $$ 0.67 $$.

Thus, the two $$ z $$ values are:

$$ -0.67, 0.67 $$
The two $$ z $$ values are $$ -0.67 $$ and $$ 0.67 $$.

ind two values so that of the middle area is bounded by them. Use 9 The Standard Normal Distribution Table and enter the answers rounded to 2
ecimal places, separated by a comma if needed.

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ind two values so that of the middle area is bounded by them. Use 9 The Standard Normal Distribution Table and enter the answers rounded to 2 ecimal places, separated by a comma if needed.