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4-step process [2]

# 4-step process [2] - If so how so Formulate • Compare the...

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Organizing a Statistical Problem The Four Step Process

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The Four-Step Process STATE the practical, real-world problem FORMULATE : What specific statistical operations are called for? SOLVE : Make graphs and carry out the necessary calculations. CONCLUDE : Give your conclusion in the setting of the real-world problem.
STATE Problem 1.58 Different varieties of the tropical flower Heliconia are fertilized by different species of hummingbirds. Over time, the lengths of the flowers and the form of the birds’ beaks have evolved to match each other. Compare the distributions of the length measurements for samples of 3 varieties of Heliconia, each fertilized by a different species of bird. Do the 3 varieties display distinct distributions of length?

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Unformatted text preview: If so, how so. Formulate • Compare the shape, center and spread of the 3 distributions of flower length • Use side by side boxplots or histograms. • After reviewing the graphs, calculate and compare the appropriate numerical summaries. Solve Conclusion • The distributions of lengths of the flowers are skewed to longer lengths. • The three varieties have different lengths with bihai the longest followed by red and then yellow. (Medians = 47.1, 39.2 and 36.1 mm, respectively.) • The lengths of the red variety vary a bit more than the other two while the lengths of the other two varieties vary about the same. (IQRs = 1.6, 2.6, and 1.4 mm, respectively)....
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