Sunflowers An experimenter publishing in theAnnals of Botany investigated whether the

Chapter 6, Problem 25

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Sunflowers An experimenter publishing in theAnnals of Botany investigated whether the stemdiameters of the dicot sunflower would changedepending on whether the plant was left to sway freelyin the wind or was artificially supported.2 Suppose thatthe unsupported stem diameters at the base of a particularspecies of sunflower plant have a normal distributionwith an average diameter of 35 millimeters (mm)and a standard deviation of 3 mm.a. What is the probability that a sunflower plant willhave a basal diameter of more than 40 mm?b. If two sunflower plants are randomly selected, whatis the probability that both plants will have a basaldiameter of more than 40 mm?c. Within what limits would you expect the basaldiameters to lie, with probability .95?d. What diameter represents the 90th percentile of thedistribution of diameters?

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