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In Figure 5-6, the x-intercept is -2.89mMand its standard uncertainty is0.098mM. Find the90%and99%confidence intervals for the intercept.

Short Answer

Expert verified

The90%and90%confidence interval for the intercept has to be calculated as±0.19Mmand±034Mm.

Step by step solution

01

Concept used

Confidence Intervals:

The confidence interval is given by the equation:

Confidence interval =X¯±tsn

=x¯±tux(since standard uncertainty ux=s/n)

Where,

x¯is mean

sis standard deviation

tis Student's t

nis number of measurements

uxis standard uncertainty

02

Calculation of confidence interval

Given

x-intercept =-2.89mM

Standard uncertainty =0.098mM

There are points

So, the degree of freedom is

9-2=7

For 90%confidence,

t=1.895

Confidence interval is ±1.8950.98mM=±0.19mM

For 90%confidence,

t=3.500

Confidence interval is±3.5000.98mM=±0.19mM

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