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# For some genetic mutations, it is thought that the ISBN: 9780073401331 38

## Solution for problem 4SE Chapter 3

Statistics for Engineers and Scientists | 4th Edition

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Problem 4SE

For some genetic mutations, it is thought that the frequency of the mutant gene in men increases linearly with age. If m1, is the frequency at age t1 and m2 is the frequency at age t2, then the yearly rate of increase is estimated by r = (m2 – m1)/(t2 – t1). In a polymerase chain reaction assay, the frequency in 20-year-old men was estimated to be 17.7 ± 1.7 per μg DNA, and the frequency in 40-year-old men was estimated to be 35.9 ± 5.8 per μg DNA. Assume that age is measured with negligible uncertainty.

a. Estimate the yearly rate of increase, and find the uncertainty in the estimate.

b. Find the relative uncertainty in the estimated rate of increase.

Step-by-Step Solution:

Step 1 of 3</p>

Uncertainty is the experiments best estimate of how far an experimental value might be from the true value

The frequency in 20 years old men estimated to be 17.7 1.7 per DNA

The frequency in 40 years old men estimated to be 35.9 5.8 per DNA

Let m1 is the frequency at age t1

Let m2 is the frequency at age t2

Step 2 of 3</p>

a)The yearly rate of increase is estimated by r=(m2 - m1 )/( t2- t1)

=(35.9-17.7)/(40-20)

=0.91

The uncertainty in the increase  is (35.9 5.8)-(17.7 1.7)

=(35.9-17.7) (5.8-1.7)

=18.2 4.1

Step 3 of 3

##### ISBN: 9780073401331

Since the solution to 4SE from 3 chapter was answered, more than 264 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: frequency, age, estimated, rate, uncertainty. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “For some genetic mutations, it is thought that the frequency of the mutant gene in men increases linearly with age. If m1, is the frequency at age t1 and m2 is the frequency at age t2, then the yearly rate of increase is estimated by r = (m2 – m1)/(t2 – t1). In a polymerase chain reaction assay, the frequency in 20-year-old men was estimated to be 17.7 ± 1.7 per ?g DNA, and the frequency in 40-year-old men was estimated to be 35.9 ± 5.8 per ?g DNA. Assume that age is measured with negligible uncertainty.a. Estimate the yearly rate of increase, and find the uncertainty in the estimate.________________b. Find the relative uncertainty in the estimated rate of increase.” is broken down into a number of easy to follow steps, and 120 words. The full step-by-step solution to problem: 4SE from chapter: 3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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