Consider the following hypothesis test:
Ho : µ ≤ 35
Ha : µ > 35
A sample of 64 provided a sample mean of 36.15. 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) → 1.84
$Z = \frac{\bar{X} - \mu}{\sigma / \sqrt{n}}$
$Z = \frac{36.15 - 35}{5 / \sqrt{64}}$
$= \frac{1.15}{5/8} = \frac{1.15}{0.625}$
$= 1.84$
$\text{Test statistic} = 1.84$