SOLUTION: A normal distribution has a mean of 85.7 and a standard deviation of 4.83. Find the data value corresponding to the value of z given. z = 0.55 (Enter your answer to four dec

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Question 1186921: A normal distribution has a mean of 85.7 and a standard deviation of 4.83. Find the data value corresponding to the value of z given.
z = 0.55

(Enter your answer to four decimal places.)

Answer by CPhill(1987)   (Show Source): You can put this solution on YOUR website!
Here's how to find the data value:
1. **Use the z-score formula:** x = μ + zσ
* Where:
* x is the data value you're looking for
* μ is the mean
* z is the z-score
* σ is the standard deviation
2. **Plug in the values:** x = 85.7 + (0.55 * 4.83)
3. **Calculate:** x = 85.7 + 2.6565
4. **Result:** x = 88.3565
Therefore, the data value corresponding to a z-score of 0.55 is 88.3565.

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