1. Refer to Exercise 1. The vendor begins using heavier packaging, which increases the weight of each pack- age by 50 g.

a. How does this affect the mean weight of the packages?

b. How does this affect the standard deviation of the weights?

2. True or false: For any list of numbers, half of them will be below the mean.

3. Is the sample mean always the most frequently occur- ring value? If so, explain why. If not, give an example.

4. Is the sample mean always equal to one of the values in the sample? If so, explain why. If not, give an example.