Consider the following hypothesis test :

$H_0: \mu ≤ 16 $

$H_a : \mu > 16 $

A sample of 49 provided a sample mean of 15.25. The population standard deviation is 2. The value of the test statistic is :

-2.625

The correct answer is Option (2) → -2.625

The test statistic for the given hypothesis,

$z=\frac{\bar x-μ_0}{σ/\sqrt{n}}=\frac{15.25-16}{0.2857}≃-2.625$

as [standard error = $\frac{2}{\sqrt{49}}=0.2857$]