Q. Find the area in the left tail more extreme than z=−2.56 in a standard normal distribution.Round your answer to four decimal places.Area - □
Identify z-score: Step 1: Identify the z-score for which we need to find the area in the left tail.The z-score given is z=−2.56. This value represents how many standard deviations an element is from the mean in a standard normal distribution.
Find area: Step 2: Use the standard normal distribution table or a calculator to find the area to the left of z=−2.56.The area to the left of z=−2.56 is typically found using a Z-table or statistical software. Since we're doing this like a typical student, let's assume we use a Z-table or an online calculator.
Look up or calculate: Step 3: Look up or calculate the area.Assuming the use of a Z-table or calculator, the area to the left of z=−2.56 is approximately 0.0052. This value represents the proportion of the data that falls below z=−2.56 in a standard normal distribution.
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