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 :
Answer & explanation
Correct answer: option 2
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 = $\frac{2}{\sqrt{49}}=0.2857$]