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3. An ecologist is studying the flower Iris versicolor. He measures the width and length of 100 petals of this flower from a large collection

3. An ecologist is studying the flower Iris versicolor. He measures the width and length of 100 petals of this flower from a large collection of specimens and obtains the following data.

Width: AVG = 1.3 cm, SD = 0.2 cm Length: AVG = 4.3 cm, SD = 0.5 cm r = 0.65

(a) One of the petals is at the 30th percentile of both width and length. Relative to all the petals at the 30th percentile width, this petal's length is (circle one)

smaller than average about average larger than average

Justify your answer using a written explanation and/or a diagram.

(b) Suppose we convert centimeters to inches, by dividing all the observations by 2.54.

The average width is now __________ inches, with an SD of ___________ inches.

The correlation is now r = ______________.

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