Consider the following hypothesis test :

$\mu_o : \mu ≤26$

$\mu_a : \mu > 26 $

A sample of 36 is provided with a sample mean of 25.75. The population standard deviation is 3.

The value of the test statistic is :

-0.5

The correct answer is Option (2) → -0.5

The statistic, Z

$Z=\frac{\bar x-μ_0}{σ/\sqrt{n}}=\frac{25.76-26}{3/\sqrt{36}}$

$=-\frac{0.25}{0.5}=-0.5$