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~𝑵𝒐𝒓𝒎𝒂𝒍(𝝁=𝟔.𝟓,𝝈=𝟎.𝟑).LetQ1is thefirst quartile of the distribution ofwingspans of adult seaside sparrows.P(X≤Q1) = 0.25P[(X–μ) /≤(Q1–μ) /] = 0.25P[Z≤(Q1–6.5) /0.3] =0.25(1)From normal areas table,P[Z≤–0.67] =0.25(2)Comparing (1) and (2)[(Q1–25) /4] =–0.67Q1=6.55–0.67(0.3) =6.299Preview Mode
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