Question

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

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).

P(x̅) P(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).

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