The value of Z-statistic, computed from a sample having n = 16, \(\overline{x}=24\), for testing \(H_0: \mu = 23\), when population standard deviation \((\sigma) = 8\), is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 0.5
With the population standard deviation known, the Z-statistic for a mean is
\( \displaystyle Z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \)
\( \displaystyle Z = \frac{24 - 23}{\frac{8}{\sqrt{16}}} = \frac{1}{\frac{8}{4}} \)
\( \displaystyle Z = \frac{1}{2} = 0.5 \)