Consider the following hypothesis test

H_O : µ ≤ 25$
H_a : µ > 25$

A sample of 40 provided a sample mean 26.4 and the population standard deviation is 6. The value of the test statistic 't' is:

1.48

The correct answer is Option (3) → 1.48

$t = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}}$

$= \frac{26.4 - 25}{6/\sqrt{40}}$

$= \frac{1.4}{6/\sqrt{40}}$

$= \frac{1.4\sqrt{40}}{6}$

$= \frac{1.4 \times 6.3249}{6}$

$= \frac{8.85486}{6}$

$\approx 1.48$

The value of test statistic is $1.48$.