Question

Suppose the sample size for this study was n=2 instead of n=70. What would be the shape of the distribution of sample means

Answer 1

Answer :

The shape of the distribution of the sample usually contains the given two points :

1. The sampling distribution is skewed for small sample sizes. Also, the distribution will be non-normal if the sample size is small

2. The shape of the sampling distribution gets more and more normal-like (bell shaped) as the sample size  increases

For sample size, n = 2

The sampling distribution will be skewed for this sample size

For sample size, n = 70

The shape of the sampling distribution for sample size of 70 will be more normal as compared to that of sample size of 2