Consider the following Hypothesis test :

$H_0 : \mu ≤40$

$H_a : \mu > 40$

A sample of 100 provided a sample mean of 41.5. The population standard deviation is 5. The value of the test statistic is :

3

The correct answer is Option (2) → 3

The Z-score formula is,

$Z=\frac{\bar x-μ_0}{σ/\sqrt{n}}$

$=\frac{41.5-40}{5/\sqrt{100}}=\frac{1.5}{0.5}$

$=3$