# Test Yourself

The figure below shows the population distribution of variable. Determine which statement applies to each of the plots A, B & C below.

### Question

a single random sample of 100 observations from this population.

a distribution of 100 sample means from random samples with size 7.

a distribution of 100 sample means from random samples with size 49.

### Question

a single random sample of 100 observations from this population.

a distribution of 100 sample means from random samples with size 7.

a distribution of 100 sample means from random samples with size 49.

### Question

a single random sample of 100 observations from this population.

a distribution of 100 sample means from random samples with size 7.

a distribution of 100 sample means from random samples with size 49.

## True or False

### Question 1

The normal distribution can be used to calculate confidence limits for the means of small samples.

### Question 2

The Central Limit Theorem states that if multiple samples of size n were drawn randomly and independently from a population, then the samples will be normally distributed as long as n is big enough.

### Question 3

Normal distributions occur when a variable is dependent on many random factors that are additive.

### Question 4

The reason why the normal distribution is important in statistics is that many variables happen to be normally distributed.