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For a standard normal distribution, \( 5 \% \) of values fall below what \( z \)-score? 1.96 1.645 -1.645 -1.96

Ask by Simpson Cox. in the United States
Mar 15,2025

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The \( z \)-score where \( 5\% \) of values fall below is \(-1.645\).

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In a standard normal distribution, a \( z \)-score of approximately -1.645 corresponds to the 5th percentile of the distribution. This means that 5% of the values fall below this \( z \)-score, making it a key point of reference, especially in statistical hypothesis testing. To visualize this, imagine a bell curve: the left tail represents the lower 5% of data points, and this point gives you the threshold that separates the most extreme 5% from the rest of the data. Understanding how to interpret \( z \)-scores can be crucial for making informed decisions based on data analysis!

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