<p>1. This question will ask you to determine the area of aflat piece of metal according to the data in the table below. Theanswer will need to be correctly state as meanvalue±σm<br />units, for example Area = 3.2± 0.2 cm^2<br />.</p>
<p><br />Length (cm) Width (cm) <br/>8.4      <spanstyle="white-space: pre;"> </span>6.3 <br />8.6<span style="white-space: pre;"> </span>5.9 <br/>8.3 <span style="white-space: pre;"> </span>6.2<br />8.7 <span style="white-space: pre;"></span>6.5 <br />8.5 <span style="white-space:pre;"> </span>6.3 <br />8.8 <spanstyle="white-space: pre;"> </span>6.1 <br />a. Determine the mean, standard deviation, and the standarddeviation of the <br />mean for the length measurements.Properly report the length and its error. <br />b. Determinethe mean, standard deviation, and the standard deviation of the<br />mean for the width measurements. Properly report thewidth and its error. <br />c. Determine the area of the plateand the error using the error propagation <br />rules assummarized above. Properly report the area its error.</p>
<p>1. This question will ask you to determine the area of aflat piece of metal according to the data in the table below. Theanswer will need to be correctly state as meanvalue±σm<br />units, for example Area = 3.2± 0.2 cm^2<br />.</p>
<p><br />Length (cm) Width (cm) <br/>8.4      <spanstyle="white-space: pre;"> </span>6.3 <br />8.6<span style="white-space: pre;"> </span>5.9 <br/>8.3 <span style="white-space: pre;"> </span>6.2<br />8.7 <span style="white-space: pre;"></span>6.5 <br />8.5 <span style="white-space:pre;"> </span>6.3 <br />8.8 <spanstyle="white-space: pre;"> </span>6.1 <br />a. Determine the mean, standard deviation, and the standarddeviation of the <br />mean for the length measurements.Properly report the length and its error. <br />b. Determinethe mean, standard deviation, and the standard deviation of the<br />mean for the width measurements. Properly report thewidth and its error. <br />c. Determine the area of the plateand the error using the error propagation <br />rules assummarized above. Properly report the area its error.</p>