Question

True or False?

A) You do a hypothesis test on 2 means, if you reject H0 at the significance level of 10%, then you will reject H0 at the significance level of 5%. T or F?

B) If the variances of 2 normal populations are unknown but assumed to be unequal, the appropriate statistic to compare the 2 means is the t of student (we assume here a small sample) . T or F?

C) If the variances of 2 normal populations are unknown but assumed to be equal, the appropriate statistic to compare the 2 means is the t of student (we assume here a small sample). T or F?

Answer 1

A) if we have test to test means and we reject the null hypothesis Ho at the significance level 10% , then we may be or may not be reject the null hypothesis Ho at 5% significance level . Depends on value of test statistic .

So answer is False .

B) If we have to test two population means and variances of 2 normal populations are unknown but assumed to be unequal

Also sample size is small

Then the appropriate test is student t test .

So answer is True

C) If we have to test two population means and variances of 2 populations are unknown but assumed to be equal. Sample size is small.

Then appropriate test is student t test

So answer is True.