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Internal standard calibration curve. Figure 5-10 is a graph of Ax/Asversus[X]/[S]=(mol%vinylacetateunits)/(mol%ethyleneunits)=q/p in Reaction 5-13.

(d) From the uncertaintyubof the intercept, find the95%confidence interval for the intercept. Does this interval include the theoretical value of zero?

Short Answer

Expert verified

The95%confidence interval for the intercept95%confidence=±0.160

Step by step solution

01

Define the equation

We will use this equation to calculate the standard uncertainty in $x$.

ux=sym1k+1n+y-y2m2∑xi-x2

syis the standard deviation of y,

is the absolute value of the slope,

k is the number of replicate measurements of the unknown,

n is the number of data points for the calibration line,

y is the mean value of y

x is the mean value of x.

02

Obtain the 95% confidence interval.

Now, let's calculate the 95%confidence interval for XS

95%confidence=±tux95%confidence=±2.78.019495confidence=±0.541

Now again use the same formula

95%confidence=±tubub=o.o574t=2.7895confidence=±0.160

Thus confidence interval95%confidence=±0.160

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