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Confidence Intervals and Sample Size

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lu49076_ch07.qxd 5/20/2003 3:16 PM Page 338<br />

338 Chapter 7 <strong>Confidence</strong> <strong>Intervals</strong> <strong>and</strong> <strong>Sample</strong> <strong>Size</strong><br />

TI-83 Plus<br />

Step by Step<br />

7–14<br />

a) Select Calc>Column statistics.<br />

b) Click the option for St<strong>and</strong>ard deviation.<br />

c) Enter C1 Assets for the Input variable <strong>and</strong> s for Store in:.<br />

3. Select Stat>Basic Statistics>1-<strong>Sample</strong> Z.<br />

4. Select C1 Assets for the <strong>Sample</strong>s in Columns.<br />

5. Click in the box for St<strong>and</strong>ard Deviation <strong>and</strong> enter s. Leave the box for Test mean empty.<br />

6. Click the [Options] button. In the dialog box make sure the <strong>Confidence</strong> Level is 90 <strong>and</strong> the<br />

Alternative is not equal.<br />

7. Optional: Click [Graphs], then select Boxplot of data. The boxplot of these data would<br />

clearly show the outliers!<br />

8. Click [OK] twice. The results will be displayed in the session window.<br />

One-<strong>Sample</strong> Z: Assets<br />

The assumed sigma = 14.4054<br />

Variable N Mean StDev SE Mean 90% CI<br />

Assets 30 11.0907 14.4054 2.6301 (6.7646, 15.4167)<br />

Finding a z <strong>Confidence</strong> Interval for the Mean (Data)<br />

1. Enter the data into L1. 2. Press STAT <strong>and</strong> move the cursor to TESTS.<br />

3. Press 7 for ZInterval.<br />

4. Move the cursor to Data <strong>and</strong> press ENTER.<br />

5. Type in the appropriate values.<br />

6. Move the cursor to Calculate <strong>and</strong> press ENTER.<br />

Example TI7–1<br />

This is Example 7–3 from the text. Find the 90% confidence interval for the population mean,<br />

given the data values<br />

12.23 2.89 13.19 73.25 11.59 8.74 7.92 40.22 5.01 2.27<br />

16.56 1.24 9.16 1.91 6.69 3.17 4.78 2.42 1.47 12.77<br />

4.39 2.17 1.42 14.64 1.06 18.13 16.85 21.58 12.24 2.76<br />

The population st<strong>and</strong>ard deviation s is unknown. Since the sample size is n � 30, one can use<br />

the sample st<strong>and</strong>ard deviation s as an approximation for s. After the data values are entered in L1 (step 1 above), press STAT, move the cursor to CALC, press 1 for 1-Var Stats, then press

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