<u>Confidence interval for population proportion is </u>
<u>sample proportion +/- confidence coefficient*standard error of p </u>
<u>Sample proportion = p = x/n = 180/300 = 0.6 </u>
<u>Confidence coefficient is the critical value of z for 95% confidence level = 1.96 </u>
<u>Standard error of p = sqrt [p*(1-p)/n] </u>
<u>= sqrt [0.6*0.4/300] </u>
<u>= 0.0283 </u>
<u>The CI is </u>
<u>0.6 +/- 1.96*0.0283 </u>
<u>0.6 +/- 0.055 </u>
<u>lower boundary is 0.6-0.055 = 0.545 </u>
<u>upper boundary is 0.6+0.055 = 0.655 </u>
<u>The CI is (0.545, 0.655)</u>
Radius = cube root (sphere volume * .75 / PI)radius = cube root (33.5 * .75 / PI)radius = cube root (
<span>
<span>
<span>
7.9975358904)
</span></span></span>radius =2 inches
Source:<span><span>
</span>
</span>
http://www.1728.org/diam.htm
Answer:
0.6 gallons/can
Step-by-step explanation:
Simply divide the gallons of paint by the number of cans:
= 0.6 gallons/can
<span>square root if 54 is 7.35</span>