1) Describe the shape, the mean, and the standard deviation for each of the following two distributions.

a - A population of scores with = 50 and =6

• b-Thedistributionofsamplemeansbasedonsamplesofn=36selectedfromapopulationwith=50and=6.
• 2)Eachofthefollowingsampleswasobtainedfromapopulationwith=100and=10.Findthez-scorescorrespondingtoeachsamplemean.

a - M=95 for a sample of n=4

b - M=104 for a sample of n=100

c - M=103 for a sample of n=100

3)A sample of n=16 scores is selected from a normal population with 40 and = 12.

a. Describe the distribution of sample means that contains the mean for the sample. b. What is the probability that the sample mean will be greater than 43? c. What is the probability that the sample mean will be less than 34?