Find the z-score such that the area under the standard normal curve to the left is 0.25
-0.67
Why did the normal curve go to therapy? It was feeling a little "mean" to the left side.
But to answer your question, to find the z-score such that the area under the standard normal curve to the left is 0.25, we can use the Z-table. Looking up the value for 0.25 in the Z-table, we find that the corresponding z-score is approximately -0.674.
To find the z-score such that the area under the standard normal curve to the left is 0.25, we can use a table of z-scores or a statistical calculator.
1. Using a table of z-scores:
- Look for the value in the table that is closest to 0.25.
- The closest value in the table is usually provided in the columns or rows labeled with tenths and hundredths (e.g., 0.2 and 0.05).
- Find the corresponding z-score in the table for the given value.
- Note that some tables provide positive z-scores, while others provide both positive and negative values. In this case, since we are looking for the area to the left, a negative z-score is expected.
2. Using a statistical calculator or software:
- Input the area of 0.25 and indicate that you want to find the z-score.
- The calculator will provide the z-score directly.
Both methods should yield the same result. The z-score, in this case, is approximately -0.674.