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Answer :
Final answer:
The Z-score corresponding to the 20th percentile is approximately -0.84. The equivalent SAT ERW test score for a student scoring below the 20th percentile is approximately 416.
Explanation:
To translate the 20th percentile into a Z-score, we need to find the Z-score corresponding to the cumulative probability of 20%. Using the standard normal distribution table, we find that the Z-score for a cumulative probability of 20% is approximately -0.84.
Now, to calculate the equivalent SAT ERW test score, we can use the Z-score formula. Let's assume that the mean SAT ERW test score is 500 and the standard deviation is 100. Using the formula Z = (X - μ) / σ, we can rearrange it to solve for X:
X = Z * σ + μ
Substituting the values, we get:
X = -0.84 * 100 + 500 = 416
Therefore, the equivalent SAT ERW test score for a student scoring below the 20th percentile is approximately 416.
Learn more about calculating z-score and equivalent sat erw test score here:
https://brainly.com/question/32792806
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Final answer:
The Z-score corresponding to the 20th percentile is approximately -0.84. The equivalent SAT ERW test score for a student scoring below the 20th percentile is approximately 416.
Explanation:
To translate the 20th percentile into a Z-score, we need to find the Z-score corresponding to the cumulative probability of 20%. Using the standard normal distribution table, we find that the Z-score for a cumulative probability of 20% is approximately -0.84.
Now, to calculate the equivalent SAT ERW test score, we can use the Z-score formula. Let's assume that the mean SAT ERW test score is 500 and the standard deviation is 100. Using the formula Z = (X - μ) / σ, we can rearrange it to solve for X:
X = Z * σ + μ
Substituting the values, we get:
X = -0.84 * 100 + 500 = 416
Therefore, the equivalent SAT ERW test score for a student scoring below the 20th percentile is approximately 416.
Learn more about calculating z-score and equivalent sat erw test score here:
https://brainly.com/question/32792806
#SPJ14
