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 <question type="category"><category><text>Normal Probability Distributions/Introduction to Normal Distributions and the Standard Normal Curve</text></category></question>
 
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      <text>Question 41</text>
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      <text><![CDATA[<p><strong>Manufacturer Claims</strong></p>
<p>You work for a consumer watchdog publication and are testing the advertising claims of a lightbulb manufacturer.  The manufacturer claims that the life span of the bulb is normally distributed, with a mean of 2000 hours and a standard deviation of250 hours.  You test 20 lightbulbs and get the following life spans.</p>
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<td style="text-align: center;">2210</td>
<td style="text-align: center;">2406</td>
<td style="text-align: center;">2267</td>
<td style="text-align: center;">1930</td>
<td style="text-align: center;">2005</td>
<td style="text-align: center;">2502</td>
<td style="text-align: center;">1106</td>
<td style="text-align: center;">2140</td>
<td style="text-align: center;">1949</td>
<td style="text-align: center;">1921</td>
</tr>
<tr>
<td style="text-align: center;">2217</td>
<td style="text-align: center;">2121</td>
<td style="text-align: center;">2004</td>
<td style="text-align: center;">1397</td>
<td style="text-align: center;">1659</td>
<td style="text-align: center;">1577</td>
<td style="text-align: center;">2840</td>
<td style="text-align: center;">1728</td>
<td style="text-align: center;">1209</td>
<td style="text-align: center;">1639</td>
</tr>
</tbody>
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<p> </p>
<ol>
<li>Use your graphing calculator to to construct a frequency histogram of the data with 5 classes.  Is it reasonable to assume that the life span is normally distributed?<br />{#1}<br /><br /></li>
<li>Find the mean and standard deviation of your sample to three significant figures.<br />«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#2}<br />«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#3}<br /><br /></li>
<li></li>
</ol>]]></text>
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