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 :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → -0.5
The statistic, Z
$Z=\frac{\bar x-μ_0}{σ/\sqrt{n}}=\frac{25.76-26}{3/\sqrt{36}}$
$=-\frac{0.25}{0.5}=-0.5$