Consider the following hypothesis test
Ho : µ ≤ 15
Ha : µ >15
A sample of 100 provided a Sample mean of 14.5. The population Standard deviation is 5. The value of the test statistic is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → -1
$Z = \frac{\bar{X} - \mu}{\sigma / \sqrt{n}}$
$Z = \frac{14.5 - 15}{5 / \sqrt{100}}$
$= \frac{-0.5}{5/10} = \frac{-0.5}{0.5} = -1$
$\text{Test statistic} = -1$