Sheldon et al. (2017) is studying the effect of music on memory recall. Typical memory recall of college undergraduates forms a normal distribution of = 20 recalled memories with = 10. The researcher selects a random sample of N = 49 students from this population to participate in the study.

a) What is the mean of the distribution of means?

b) What is the variance of the distribution of means?

c) What is the standard error for the distribution of sample means?