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Confidence Intervals and Sample Size

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lu49076_ch07.qxd 5/20/2003 3:16 PM Page 359<br />

7–6<br />

Summary<br />

Finding a <strong>Confidence</strong> Interval for the Variance <strong>and</strong> St<strong>and</strong>ard<br />

Deviation (Data)<br />

1. Enter the data values into L1. 2. Press PRGM, move the cursor to the program named SDINT, <strong>and</strong> press ENTER twice.<br />

3. Press 1 for Data.<br />

4. Type L1 for the list <strong>and</strong> press ENTER.<br />

5. Type the confidence level <strong>and</strong> press ENTER.<br />

6. Press ENTER to clear the screen.<br />

Example TI7–3<br />

This refers to Example 7–15 in the text. Find the 90% confidence interval for the variance<br />

<strong>and</strong> st<strong>and</strong>ard deviation for the data:<br />

59 54 53 52 51 39 49 46 49 48<br />

Finding a <strong>Confidence</strong> Interval for the Variance <strong>and</strong> St<strong>and</strong>ard<br />

Deviation (Statistics)<br />

1. Press PRGM, move the cursor to the program named SDINT, <strong>and</strong> press ENTER twice.<br />

2. Press 2 for Stats.<br />

3. Type the sample st<strong>and</strong>ard deviation <strong>and</strong> press ENTER.<br />

4. Type the sample size <strong>and</strong> press ENTER.<br />

5. Type the confidence level <strong>and</strong> press ENTER.<br />

6. Press ENTER to clear the screen.<br />

Example TI7–4<br />

Section 7–6 Summary 359<br />

This refers to Example 7–14 in the text. Find the 95% confidence interval for the variance <strong>and</strong><br />

st<strong>and</strong>ard deviation, given n � 20 <strong>and</strong> s � 1.6.<br />

An important aspect of inferential statistics is estimation. Estimations of parameters of<br />

populations are accomplished by selecting a r<strong>and</strong>om sample from that population <strong>and</strong><br />

choosing <strong>and</strong> computing a statistic that is the best estimator of the parameter. A good estimator<br />

must be unbiased, consistent, <strong>and</strong> relatively efficient. The best estimators of m<br />

<strong>and</strong> p are <strong>and</strong> , respectively. The best estimators of s2 <strong>and</strong> s are s2 X pˆ<br />

<strong>and</strong> s, respectively.<br />

7–35

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