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:
Answer & explanation
Correct answer: option 3
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.