Consider the following Hypothesis test :
$Ho : \mu ≤ 40 $
$Ha : \mu > 40 $
A sample of 121 provided a sample mean of 40.5. The population standard deiviation is 5. The values of test statistic is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1.1
To calculate test statistic for hypothesis test, use formula of z-test when population standard deviation is known
$Z=\frac{\bar x-μ_0}{σ/\sqrt{n}}$
Here,
$μ_0$ = Population mean under $H_0$
$⇒40$
$Z=\frac{40.5-40}{5/\sqrt{121}}$
$=\frac{0.5}{0.4545}≈1.10$