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

The shape of the distribution of sample means would be more spread out with a smaller sample size of n=2.

Step-by-step explanation:

The shape of the distribution of sample means is determined by the sample size. In this case, if the sample size is n=2 instead of n=70, the distribution of sample means would be more spread out compared to a larger sample size.

Answer 2

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