Suppose the scores on an exam are normally distributed with a mean μ = 75 points and standard deviation σ = 8 points.What is the exam score for an exam whose z-score is 1.25? 65 75 85 0.8944 0.1056
Question
Suppose the scores on an exam are normally distributed with a mean μ = 75 points and standard deviation σ = 8 points.What is the exam score for an exam whose z-score is 1.25? 65 75 85 0.8944 0.1056
Solution
To find the exam score corresponding to a given z-score, you can use the formula:
X = μ + Zσ
where: X is the score on the exam, μ is the mean, Z is the z-score, and σ is the standard deviation.
Given that μ = 75, Z = 1.25, and σ = 8, you can substitute these values into the formula:
X = 75 + 1.25*8
Calculate 1.25*8 = 10
Then add this to 75:
X = 75 + 10 = 85
So, the exam score corresponding to a z-score of 1.25 is 85.
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