The Analysis of Biological Data
The Analysis of Biological Data
2nd Edition
ISBN: 9781936221486
Author: Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
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Chapter 5, Problem 24AP
To determine

To find probability that eight genes line up in the same order as the segments in which they are expressed.

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The central tail feathers of the long-tailed finch (Poephila acuticauda) are a sexually dimorphic trait hypothesized to play a role in sexual selection. The longer tail feathers in males cost energy to produce, and this is thought to signal the male’s excellent health condition. The table contains the lengths of the central tail feathers (average of the two central feathers, in millimeters) of 20 male and 21 female long-tailed finches. (a) Compute a 95% confidence interval for the difference in mean response μf − μm based on df = 32. (b) Test whether the means are equal or not.
A study to investigate the dominant paws in cats was described in the scientific journal Animal Behaviour. The researchers used a random sample of 42 domestic cats. In this study, each cat was shown a treat (5 grams of tuna), and while the cat watched, the food was placed inside a jar. The opening of the jar was small enough that the cat could not stick its head inside to remove the treat. The researcher recorded the paw that was first used by the cat to try to retrieve the treat. This was repeated 100 times for each cat (over a span of several days). The paw used most often was deemed the dominant paw (note that one cat used both paws equally and was classified as "ambidextrous"). Of the 42 cats studied, 20 were classified as "left-pawed." Verify that the sample is large enough to use the normal formula to find a confidence interval for the proportion of domestic cats that are "left-pawed." Yes. No.
The figure to the right shows the results of a survey in which 1012 adults from Country​ A, 1009 adults from Country​ B, 1016 adults from Country​ C, 1010 adults from Country​ D, and 1005 adults from Country E were asked whether national identity is strongly tied to birthplace. A table labeled "National Identity and Birthplace, People from different countries who believe national identity is strongly tied to birthplace" consists of five rows containing the following information from top to bottom, with row listed first and information listed second: Country A, 31 percent; Country B, 20 percent; Country C, 25 percent; Country D, 53 percent; Country E, 12 percent.Country A31%20%25%53%Country BCountry CCountry DCountry E12%   Construct a 99​% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed.
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