4-4 Mapd are checking the acouracy of a volumetric Rask marked 10.00 mL Measurem

Question

4-4

Mapd are checking the acouracy of a volumetric Rask marked 10.00 mL Measurement Volume (mL) ou measure the voume of water contained in the flask by measuring 10.082 the mass of the empty flask, the mass of the flask filed wich water taking the dMerence, correcting for the buoyancy factor, and the density of the water. The result of eight such measurements 0.020 Calculate the mean and the 95% confidence interval for these 10.007 0.053 0013 Can you, with 95% con dence, say that the nominal value of 10 00 mL can to the true volume of the flask? No

Explanation / Answer

a)

Note that              
              
Margin of error = t(alpha/2)*s/sqrt(n)      
              
where              

alpha/2 = (1 - confidence level)/2 =    0.025          
X = sample mean =    10.037625          

t(alpha/2) = critical t for the confidence interval =    2.364624252          

s = sample standard deviation =    0.023796383          
n = sample size =    8          
df = n - 1 =    7          

Thus,              
              
Margin of error = 0.019894274

              
Thus, the confidence interval is          

10.037625 +/- 0.019894274 [ANSWER]

*******************

b)

NO, because the confidence interval (   10.01773073   ,   10.05751927   ) does not contain 10.00 mL.

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.