Question

The ________________ states that as samples size increases, the shape of the distribution of all possible samples approaches normality. The larger the sample, the less skew there tends to be, and the more of a bell-shaped curve we tend to see.

a) Null Hypothesis

b) Central Limit Theorem

c) Theory of Errors

d) Alternative Hypothesis

Answer 1

b) The Central Limit Theorem states that as samples size increases, the shape of the distribution of all possible samples approaches normality. The larger the sample, the less skew there tends to be, and the more of a bell-shaped curve we tend to see.

The null hypothesis is the hypothesis which is tested for possible rejection under the assumption that it is true.Alternative hypothesis is complementary to null hypothesis.

The null hypothesis and alternative hypothesis are the statements only depend on the problem.It does not states anything about distribution,skewness and shape of curve.So option a) and d) are irrelevant here.