For the formula $t=\frac{\mu_1-\mu_2}{\sqrt{\frac{S_1^2}{n_1}+\frac{S^2_2}{n_2}}}$ consider of the following statements :
A. $\mu_1$ and $\mu_2$ are sample mean and population mean respectively.
B. $n_1$ and $n_2$ are sample sizes of two samples from same population.
C. $S_1$ and $S_2$ are sample means of two samples from same population.
D. $S_1$ and $S_2$ standard error of two samples from same population.
E. $n_1$ is the sample size and $n_2$ is the population size.
Choose the correct answer fro the options given below :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → B only
The formula given,
$t=\frac{\mu_1-\mu_2}{\sqrt{\frac{S_1^2}{n_1}+\frac{S^2_2}{n_2}}}$
(B) The formula compares two samples, typically from the same population or under similar conditions.