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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
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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.

Statistic X
Female
Male
65.31
82
S
7.7
11.6
n
21
20
Transcribed Image Text:Statistic X Female Male 65.31 82 S 7.7 11.6 n 21 20
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