Biostats SDS 328M Homework 3

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Biostats SDS 328M Homework 31.Thewingspansofadultseasidesparrows(Ammodramusmaritimus)followanormaldistribution with a mean of 6.5 inches and a standard deviation of 0.3 inches.a. Sketch the distribution of seaside sparrowwingspans. Be sure to include labels and an accuratescale. (2pt)b. Between which two wingspan measurements are the middle two quartiles of the distribution?(3pt)Here, thewingspans of adult seaside sparrows,𝑿~π‘΅π’π’“π’Žπ’‚π’(𝝁=πŸ”.πŸ“,𝝈=𝟎.πŸ‘).LetQ1is thefirst quartile of the distribution ofwingspans of adult seaside sparrows.οƒžP(X≀Q1) = 0.25οƒžP[(X–μ) /≀(Q1–μ) /] = 0.25οƒžP[Z≀(Q1–6.5) /0.3] =0.25οƒ (1)From normal areas table,P[Z≀–0.67] =0.25οƒ (2)Comparing (1) and (2)οƒž[(Q1–25) /4] =–0.67οƒžQ1=6.55–0.67(0.3) =6.299

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Document Details

Course
SDS 328M
Subject
Biology

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