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Chapter 4: Q13P (page 92)

Sample 8 of Problem 4-3 was analyzed seven times, with x炉=1.52793and s=0.00007. Find the 99 % confidence interval for sample 8 .

Short Answer

Expert verified

As a result, there is a confidence interval of 1.52793卤0.00010for at a confidence level of 99 percent, sample 8 was chosen.

Step by step solution

01

Definition of confidence interval

  • A confidence interval is the range of values we see in our sample and for which we expect to discover a value that accurately represents the population.
02

The table below summarises the values

Given: The ratio of isotopesG69a andG71a in sample 8 is equal to 1.52793, according to Problem 4-3 of Chapter 4 of the book. The table below summarises this value, as well as other given values from the problem:

03

Determine the sample 8, at 99% CI

For sample 8, a 99 percent confidence interval (Cl) is required.

Solution :The can be calculated for sample 8 by using t - 3.707 for 99 % a level of confidence with a number of degrees of freedom of 6:

CIfor渭=x鈫�卤tsn99%CI=1.52793卤3.7070.000077=-1.52793卤0.00010

As a result, there is a confidence interval of -1.52793卤0.00010for at a confidence level of 99 percent, sample 8 was chosen.

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