Question: Compute the \(z\) -score corresponding to each of the following values of \(x\) :

1. \(x=40, s=5, \bar{x}=30\)
2. \(x=90, \mu=89, \sigma=2\)
3. \(\mu=50, \sigma=5, x=50\)
4. \(s=4, x=20, \bar{x}=30\)
5. In parts \(\mathbf{a}-\mathbf{d}\), state whether the \(z\) -score locates \(x\) within a sample or a population.
6. In parts \(\mathbf{a}-\mathbf{d}\), state whether each value of \(x\) lies above or below the mean and by how many standard deviations.

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