If you are computing a 95% confidence interval when the population standard deviation is known, you should use 1.645 as your critical z.

Name: If you are computing a 95% confidence interval when the population standard deviation is known, you should use 1.645 as your critical z.
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For a 95% confidence interval with a known population standard deviation, the correct critical z-value is approximately 1.96, not 1.645. The value 1.645 is used for a 90% confidence interval.

If You Are Computing a 95% Confidence Interval When the Population