Question: Consider a random variable Z which has a standard normal distribution with mean = 0 and standard deviation = 1. (a) What can you say

Consider a random variable Z which has a standard normal distribution with mean = 0 and standard deviation = 1.

(a) What can you say about the distribution of means of samples of size 10 which are drawn from this population? List three properties.

(b) What proportion of the means of samples of size 10 are greater than 0.

60?

(c) What proportion of the means are less than -0.75?

(d) What value cuts off the upper 20% of the distribution of means of samples of size 10?

(e) What value cuts off the lower 10% of the distribution of means?

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