26. Consider the following statements.
(i). If we are testing for the difference between two population means, it is assumed that the sample observations from one population are independent of the sample observations from the other population.
(ii). If we are testing for the difference between two population means, it is assumed that the two populations are approximately normal and have equal variances.
(iii). The critical value of t for a two-tail test of the difference of two means, a level of significance of 0.10 and sample sizes of seven and fifteen, is ±1.734.
Answer:
1) True
The basic assumption when calculation for difference between two population means is that one population is independent of the sampe. Else the test is not possible
2) False
We never assume that the populations are normal and have equal variances when testing difference between population means
3) False
The critical values are +- 1.725 and not +- 1.734
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