5. Basic Computation. Score and Raw Score A normal distribution has μ = 30 and σ = 5. (a) Find the z score corresponding to x = 25. (b) Find the z score corresponding to x = 42. (c) Find the raw score corresponding to z = -2. (d) Find the raw score corresponding to z = 1.3.

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Please answer number 6. Make sure to show work! Thanks. 

### Normal Distribution Problems

**Problem 5:** 
A normal distribution has \(\mu = 30\) and \(\sigma = 5\).

(a) Find the \(z\) score corresponding to \(x = 25\).   
(b) Find the \(z\) score corresponding to \(x = 42\).   
(c) Find the raw score corresponding to \(z = -2\).   
(d) Find the raw score corresponding to \(z = 1.3\).

**Problem 6:**
A normal distribution has \(\mu = 10\) and \(\sigma = 2\).

(a) Find the \(z\) score corresponding to \(x = 12\).   
(b) Find the \(z\) score corresponding to \(x = 4\).   
(c) Find the raw score corresponding to \(z = 1.5\).   
(d) Find the raw score corresponding to \(z = -1.2\).
Transcribed Image Text:### Normal Distribution Problems **Problem 5:** A normal distribution has \(\mu = 30\) and \(\sigma = 5\). (a) Find the \(z\) score corresponding to \(x = 25\). (b) Find the \(z\) score corresponding to \(x = 42\). (c) Find the raw score corresponding to \(z = -2\). (d) Find the raw score corresponding to \(z = 1.3\). **Problem 6:** A normal distribution has \(\mu = 10\) and \(\sigma = 2\). (a) Find the \(z\) score corresponding to \(x = 12\). (b) Find the \(z\) score corresponding to \(x = 4\). (c) Find the raw score corresponding to \(z = 1.5\). (d) Find the raw score corresponding to \(z = -1.2\).
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