The tdistribution is still applicable even when there are sm

The t-distribution is still applicable even when there are small violations of the assumptions for the case when the variances for two populations are unknown. This is particularly true when the sample sizes are approximately equal.

Solution

ans- true!

When we use sample variance for population variance, we deal with t distribution. This is right philosophically. Numerically, when n> 30, statistic t and statistic z are close, or t distribution is close to normal distribution, and more important, the influence of the degrees of freedom on the shape of distribution gradually becomes null.
If the sample sizes are approximately equal, and not too small, then the t statistic will not be much affected even if the population distributions are skewed, as long they have approximately the same skewness.