Consider the following hypothesis test:
$H_0:u≤16$
$H_a:μ> 16$
A sample of 25 provided a sample mean $\bar x= 17$ and a sample standard deviation $s = 3.5$, then the value of the test statistic in t-test is:

1.43

The correct answer is Option (3) → 1.43 **

Given:

$\bar{x}=17$, $\mu_0=16$, $s=3.5$, $n=25$

Test statistic:

$t=\frac{\bar{x}-\mu_0}{s/\sqrt{n}}$

$t=\frac{17-16}{3.5/\sqrt{25}}$

$t=\frac{1}{3.5/5}$

$t=\frac{1}{0.7}$

$t=1.4286$

The value of the t-statistic is 1.4286.