Construct the sampling distribution of the sample means by making a tally of these means from lowest to highest with the corresponding frequency and probability
set of population
60 inches, 61 inches, 62 inches, 63 inches, 64 inches, 66 inches, 67 inches
N=7
7C4= 7!
4! (7-4)!
=35
X̅= 61 + 62 +63 +64
4
= 62.5
|
S.No. |
Samples |
Sample mean |
|
1 |
{61,62,63,64} |
62.5 |
|
2 |
{61,62,63,65} |
62.75 |
|
3 |
{61,62,63,66} |
63 |
|
4 |
{61,62,63,67} |
63.25 |
|
5 |
{61,62,64,65} |
63 |
|
6 |
{61,62,64,66} |
63.25 |
|
7 |
{61,62,64,67} |
63.5 |
|
8 |
{61,62,65,66} |
63.5 |
|
9 |
{61,62,65,67} |
63.75 |
|
10 |
{61,62,66,67} |
64 |
|
11 |
{61,63,64,65} |
63.25 |
|
12 |
{61,63,64,66} |
63.5 |
|
13 |
{61,63,64,67} |
63.75 |
|
14 |
{61,63,65,66} |
63.75 |
|
15 |
{61,63,65,67} |
64 |
|
16 |
{61,63,66,67} |
64.25 |
|
17 |
{61,64,65,66} |
64 |
|
18 |
{61,64,65,67} |
64.25 |
|
19 |
{61,64,66,67} |
64.5 |
|
20 |
{61,65,66,67} |
64.75 |
|
21 |
{62,63,64,65} |
63.5 |
|
22 |
{62,63,64,66} |
63.75 |
|
23 |
{62,63,64,67} |
64 |
|
24 |
{62,63,65,66} |
64 |
|
25 |
{62,63,65,67} |
64.25 |
|
26 |
{62,63,66,67} |
64.5 |
|
27 |
{62,64,65,66} |
64.25 |
|
28 |
{62,64,65,67} |
64.5 |
|
29 |
{62,64,66,67} |
64.75 |
|
30 |
{62,65,66,67} |
65 |
|
31 |
{63,64,65,66} |
64.5 |
|
32 |
{63,64,65,67} |
64.75 |
|
33 |
{63,64,66,67} |
65 |
|
34 |
{63,65,66,67} |
65.25 |
|
35 |
{64,65,66,67 |
65.5 |
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Construct the sampling distribution of the sample means by making a tally of these means from
lowest to highest with the corresponding frequency and probability
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