A normal distribution has mean 65.1 and standard deviation 4.93. Find the data value corresponding to the following value of $z$. \[ z=-0.36 \] The data value corresponding to $z=-0.36$ is (Round to the nearest tenth as needed.)

Step 1 ：We are given a normal distribution with mean \(\mu = 65.1\) and standard deviation \(\sigma = 4.93\). We are asked to find the data value corresponding to the z-score \(z = -0.36\).

Step 2 ：The z-score is a measure of how many standard deviations an element is from the mean. The formula for the z-score is \(z = \frac{x - \mu}{\sigma}\), where \(x\) is the data value we are trying to find.

Step 3 ：We can rearrange this formula to solve for \(x\): \(x = z \cdot \sigma + \mu\).

Step 4 ：Substituting the given values into this formula, we get \(x = -0.36 \cdot 4.93 + 65.1\).

Step 5 ：Calculating the above expression, we get \(x = 63.325199999999995\).

Step 6 ：Rounding to the nearest tenth as needed, we get \(x = 63.3\).

Step 7 ：Final Answer: The data value corresponding to \(z=-0.36\) is \(\boxed{63.3}\).