Consider the following hypothesis test :
$H_o: \mu ≤ 24 $
$H_a: \mu > 24 $
A sample of 64 provided a sample mean of 24.3. The population standard deviation is 2. The value of the test statistic is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 1.2
Z-statistic in one sample test Z,
$Z=\frac{\bar x-μ_0}{σ/\sqrt{n}}$
$=\frac{24.3-24}{2/\sqrt{64}}=\frac{0.3}{0.25}$
$=1.2$