Problem

Find each of the following. Enter your answers rounded $t$ Part 1 of 5 $z_{\alpha / 2}$ for the $95 \%$ confidence interval \[ z_{\alpha / 2}=\square \]

Solution

Step 1 :The question is asking for the z-score for a 95% confidence interval. The z-score is a measure of how many standard deviations an element is from the mean.

Step 2 :In a normal distribution, a 95% confidence interval corresponds to a z-score of approximately 1.96. This is because 95% of the data in a normal distribution is within 1.96 standard deviations of the mean.

Step 3 :Therefore, we can calculate this directly.

Step 4 :Final Answer: The z-score for a 95% confidence interval is approximately \( \boxed{1.96} \).

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Source: https://solvelyapp.com/problems/zfCjIjNaHL/

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