Question

In comparing two population means, an unpaired test provides more precise results than a paired test because the unpaired test uses two independent samples while the paired test uses a single sample. True O False Question 2 1 pts When comparing two population means, if the variations which are unique to each population are very small compared to the variations which are common to both populations, it is reasonable to assume that the population standard deviations are not equal. O True O False Question 3 1 pts The sampling distribution of a sample proportion follows a binomial distribution. O True O False

Answer 1

Q.1 answer : False
Paired t-tests are considered more powerful than unpaired t-tests because using the same participants or item eliminates variation between the samples that could be caused by anything other than what’s being tested. And also In an unpaired t-test, the variance between groups is assumed to be equal. In a paired t-test, the variance is not assumed to be equal.

Q.2 True

Q.3 False
A sample distribution of a sample proportion follows a binomial distribution.
np ≥ 10 and n (1 −p ) ≥ 10
The sample proportion follows a normal distribution.