1. A population has a mean of 150 and a standard deviation of 16.

a) What are the mean and standard deviation of the sampling distribution of the mean for N=25?

b) What are the mean and standard deviation of the sampling distribution of the mean for N=50?

2. Given a test that is normally distributed with a mean of 100 and a standard deviation of 15, find:

a) The probability that a sample of 73 scores will have a mean greater than 107.

b) The probability that the mean of sample of 13 scores will be either less than 91 or greater than 107.

3. What is the standard error?

4. Can the standard error of a variable ever be larger than, or even equal in size to, the standard deviation for the same variable? Justify your answer using formulas and discussing the relationships between the standard error and the standard deviation.

5. If you select multiple samples of 50 individuals to collect information on the mean number of children they have and compute the relative frequency distribution of the means, what would be the shape of the frequency distribution?

6. In 2017, the mean age at first birth among US women living in metro counties was 27.7. Would you be more likely (or equally likely) to get a sample mean of 25 years if you randomly sampled 25 women or if you randomly sampled 50 women? Explain.

7. According to a recent report from the Pew Research Center, 62% of Americans oppose building a wall along the border with Mexico. You sample 50 people in Little Rock.

a) What is the mean of the sampling distribution of p?

b) What is the standard error of p