Problem

Answer Question 4 (1 point) A given distribution has a population mean, $\mu$, of 120 and a population standard deviation, $\sigma$, of 11. Compute the raw, $x$-value associated with a Z-score of 0.39 . Round to two decimal places, as needed. Your Answer: Answer Question 5 (1 point)

Solution

Step 1 :Given that the population mean, $\mu$, is 120, the population standard deviation, $\sigma$, is 11, and the Z-score is 0.39.

Step 2 :The formula to calculate the raw score, $x$, from the Z-score is $x = \mu + Z\sigma$.

Step 3 :Substitute the given values into the formula: $x = 120 + 0.39 \times 11$.

Step 4 :Solving the equation gives $x = 124.29$.

Step 5 :\(\boxed{124.29}\) is the raw, $x$-value associated with a Z-score of 0.39.

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Source: https://solvelyapp.com/problems/rocUqEipJi/

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