A British statistician and biologist introduced a data set which consists of 50 samples from each of two species of Iris (Iris W and Iris versicolor). Four features were measured from each sample: the length and the width of the sepals and petals, in centimetres. This data set is available as Excel file "iris.xlsx\" on Moodle in "Assessment\" block. a) Produce a histogram of the petal length of Iris W and comment on the features of the distribution as shown by the histogram. b) Determine the five-number summary for the petal lengths of Iris W c) Determine the five-number summary for the petal lengths of Iris versicolor. d) Draw a comparative M for the petal lengths of the two species, ensuring that any outliers are noted and that all axes are well labelled. e) Comment on any similarities and differences (as shown in the comparative M) in the petal lengths between the two species. f) Find the mean and standard deviation of the petal length for each type of Iris in the samples. g] Compare the mean with the median for the petal length for each type ofIris. What does each ofthese comparisons indicate about each distribution? Combining groups can change the overall trend and correlation coefficient between variables. h) Draw a scatter plot using the petal length an explanatory variable and find the correlation coefficient i. for the petal length and petal width of Iris setgsa, ii. for the petal length and petal width of Iris versicolor, and iii. for the petal length and petal width of the combined samples of Iris W and lris versicolor. i] State the effect of combining samples of lris W and Iris versicolor on the correlation between the petal length and petal width. j] Convert centimetres to inches for both petal length and petal width of Iris W and find the correlation coefficient between them. State the effect of changing units in the correlation coefficient