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Statistics for Decision- Making in Business - Maricopa Community ...

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First off, we notice there is sampl<strong>in</strong>g variability. Not every person obta<strong>in</strong>ed the same average<br />

outcome from 10 tosses each. This is expected, s<strong>in</strong>ce the process is a random one.<br />

The distribution of these means is called a sampl<strong>in</strong>g distribution.<br />

Sampl<strong>in</strong>g Distribution<br />

The distribution of sample statistics (such as ̅) computed from repeated sampl<strong>in</strong>g is called a<br />

sampl<strong>in</strong>g distribution.<br />

6.1.2 The Central Limit Theorem<br />

20 Means<br />

3.1<br />

3.3<br />

2.4<br />

3.5<br />

2.7<br />

2.9<br />

2.9<br />

3.6<br />

3<br />

4.7<br />

3.6<br />

3.2<br />

3.9<br />

2.8<br />

3.2<br />

3.3<br />

3.9<br />

3.3<br />

3.5<br />

3.1<br />

We do notice that the means tend to gravitate towards 3.5. Some, as expected, deviate from this<br />

value.<br />

Let us now consider a histogram <strong>for</strong> this sampl<strong>in</strong>g distribution of sample means:<br />

<strong>Statistics</strong> <strong>for</strong> <strong>Decision</strong>-<strong>Mak<strong>in</strong>g</strong> <strong>in</strong> Bus<strong>in</strong>ess © Milos Podmanik Page 184

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