solve using r and Consider the data birds.txt. A wildlife ecologist measured X1 = Tail length...

solve using r and

Consider the data birds.txt. A wildlife ecologist measured X₁ = Tail length (in millimeters)

and X₂ = Wing length (in millimeters) for a sample of n = 45 female hook-billed kites.

(a) Construct both Q-Q plots and histograms from the marginal distributions of tail length

(X1) and wing length (X₂). Do these data appear to be normally distributed? Discuss.

(b) Is the bivariate normal distribution a viable population model? Discuss.

(c) Consider the variable, wing length (X₂). Construct a 95% confidence interval for the mean wing length for the female birds. Interpret the interval in the context of the problem.

(d) Based on the reported interval in Part(c), a two-sided hypothesis test with H0 : μ2 = 274 mm vs. Ha : μ2 ̸= 274 mm and a significance level of α = 0.05 would reach what decision? Explain the reason behind your decision.

the data file is

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After importing the data from Excel in R

orchestra answered 1 year ago

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