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# Get solution: (a) Fibonacci posed the following problem: Suppose that rabbits live ISBN: 9781305270336 484

## Solution for problem 83 Chapter 11.1

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 83

(a) Fibonacci posed the following problem: Suppose that rabbits live forever and that every month each pair produces a new pair which becomes productive at age 2 months. If we start with one newborn pair, how many pairs of rabbits will we have in the nth month? Show that the answer is fn, where h fn j is the Fibonacci sequence defined in Example 3(c). (b) Let an fn11yfn and show that an21 1 1 1yan22 . Assuming that han j is convergent, find its limit.

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Statistical Inference: provides methods for drawing conclusions about a population from the sample data. There are two ways to do this:  Confidence intervals: used to estimate the value of a population parameter using sample statistics Test of Significance: used for assessing evidence for a claim about the  population To set up  Have to have an SRS from the population, no bias  The variable has to have an exactly normal distribution in the population  We don’t know population mean , but we know the population standard deviation Confidence Interval  What statistic can be used to estimate the population parameter o We can use x-bar  To do a confidence interval, it is similar to the 68-95-99.7 rule. So you can say with 95% confidence, the mean number or something will fall between two standard deviations of the mean. o The sampling distribution tells us how close to the mean that the sample mean is o A statistical Estimation: tells us how close to the sample mean x bar the unknown mean is likely to be o Margin of Error: shows how accurate we believe out guess is on the variability of our estimate  The confidence interval should be in the format: estimate +- margin of error  Formula: margin of error = z*(standard deviation/sqrt(n)) o Confidence level  An interval calculated from the sample data: x bar +_ the

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##### ISBN: 9781305270336

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