Question

1. Consider the data 2, 4, 6, 8, 10, 12 and 14. Store them in ?1, and then

(a) Take samples of size 2 with replacement from this population, list all your samples in the table below:

2,2	2,4	2,6	2,8
4,2	4,4	4,6
6,2
8,2
10,2

(b) Now find the mean of each sample, and place all the sample means in the table below:

2	3	4	5	6	7
3	4
4

(c) Complete the following probability distribution table for all the sample means: Write ?(?), in fractions (do not reduce).

x̅	P(x̅)	x̅	P(x̅)	x̅	P(x̅)
1	0/49	6		11
2	1/49	7		12
3	2/49	8		13
4		9		14
5		10		15	0/49

(d) Draw the probability distribution histogram using ? and ?(?) superimposed with a bell curve. Clearly label and mark your graph.

Now enter all the sample means ? in ?2, and corresponding probabilities ?(?) in ?3.

(e) Find ?? .

(f) Find ?? .

(g) Find ?? 2 (exact).

Answer 1