Question

In: Statistics and Probability

Boron has two naturally occurring isotopes, 10B and 11B. The ratio of the numeric abundances may...

Boron has two naturally occurring isotopes, 10B and 11B. The ratio of the numeric abundances may vary for samples derived from diverse natural sources.

A 4.02668 E 4.02709
B 4.02553 F 4.02747
C 4.02404 G 4.02480
D 4.02417 H 4.02598

Sample E was analyzed five times giving
4.02709 and s = 0.00007.
The 99% confidence interval for sample E is:
4.02709± ???

Solutions

Expert Solution

Level of Significance ,    α =    0.01          
degree of freedom=   DF=n-1=   4          
't value='   tα/2=   4.6041   [Excel formula =t.inv(α/2,df) ]      
                  
Standard Error , SE = s/√n =   0.0001   / √   5   =   0.000031
margin of error , E=t*SE =   4.6041   *   0.00003   =   0.000144
                  
confidence interval is       

4.02709± 0.000144

           

................

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