QUESTION 1 A population consists of the following 8 values: 1 2 2 3 5 6 8 9 A SRS without replacement of size 4 will be taken from the population. Let X-bar denote the mean of the future

sample. The mean of the population is m = 4.5 and the standard deviation is o= 2.784. What is the expected value of the sample mean? 04

05.5

06

04.5

05 QUESTION 2 Refer to the scenario presented in Question 1.

Which one of the following is a possible value for X-bar?

Hint: what are the smallest and largest possible values for X-bar? 01.5

01

O7

08 QUESTION 3 Refer to the scenario presented in Question 1.

What is the standard deviation of X—bar? Note: the CF is very important here!

0 0.04559 0 0.9843

0 2.6558

0 1.7563

0 0.7531