Consider the following hypothesis test
HO : µ ≤ 25$
Ha : 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:
Answer & explanation
Correct answer: option 3
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 $1.48$.