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 :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3
The Z-score formula is,
$Z=\frac{\bar x-μ_0}{σ/\sqrt{n}}$
$=\frac{41.5-40}{5/\sqrt{100}}=\frac{1.5}{0.5}$
$=3$