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 :

1.1

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 $H_0$

$⇒40$

$Z=\frac{40.5-40}{5/\sqrt{121}}$

$=\frac{0.5}{0.4545}≈1.10$