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:

1.84

The correct answer is Option (3) → 1.84

$Z = \frac{\bar{X} - \mu}{\sigma / \sqrt{n}}$

$Z = \frac{36.15 - 35}{5 / \sqrt{64}}$

$= \frac{1.15}{5/8} = \frac{1.15}{0.625}$

$= 1.84$

$\text{Test statistic} = 1.84$