An experiment investigated whether the stem diameters of a tulip would change depending on whether the plant was left swinging freely in the wind or was artificially supported. Suppose that the unsupported stem diameters of the tulip plant have a normal distribution with an average diameter of 25 mm(millimetres) and a standard deviation of 2 mm. a) If two tulip plants are randomly selected, what is the probability that both plants will have a stem diameter of more than 28 mm? b) Suppose the papulation mean of unsupported stem diameter of the tulip plant is unknown with a standard deviation of 2 mm, and the probability that unsupported stem diameter of the tulip plant is more than 22 mm is 99%. Calculate the population mean of unsupported stem diameter of the tulip plant. c) It is known from historical records that the proportion of artificially supported tulip plants that have a stem diameter change is forty two percent. If a sample of 140 artificially supported tulip plants are selected at random, what is the probability that more than thirty percent of the artificially supported tulip plants are with a changed diameter?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.