Question 2 (14 marks) A British statistician and biologist introduced a data set which consists of 50 samples from each of two species of Iris (Iris setosa and Iris versicolor). The width of sepals was measured from each sample in centimetres. This data set is available as Excel file "sepal width.xlsx" on Moodle in the "Assessment" block. Does the data provide evidence for a difference in the sepal widths between Iris setosa and Iris versicolor? a Construct a suitable confidence interval at a confidence level of 95%. State your conclusion. b) Conduct a suitable test of significance at a significance level of 5%. c) Is the conclusion from the confidence interval calculation above the same as the conclusion of the test above? Explain why or why not.A B C D E F 1 Sepal. Width Species Sepal Width Species 3.5 setosa 3.2 versicolor 3 setosa 3.2 versicolor 3.2 setosa 3.1 versicolor 5 3.1 setosa 2.3 versicolor 6 3.6 setosa 2.8 versicolor 3.9 setosa 2.8 versicolor 8 3.4 setosa 3.3 versicolor 9 3.4 setosa 2.4 versicolor 10 2.9 setosa 2.9 versicolor 11 3.1 setosa 2.7 versicolor 12 3.7 setosa 2 versicolor 13 3.4 setosa 3 versicolor 14 3 setosa 2.2 versicolor 15 3 setosa 2.9 versicolor 16 4 setosa 2.9 versicolor 17 4.4 setosa 3.1 versicolor 18 3.9 setosa 3 versicolor 19 3.5 setosa 2.7 versicolor 20 3.8 setosa 2.2 versicolor 21 3.8 setosa 2.5 versicolor 22 3.4 setosa 3.2 versicolor 23 3.7 setosa 2.8 versicolor 24 3.6 setosa 2.5 versicolor 25 3.3 setosa 2.8 versicolor 26 3.4 setosa 2.9 versicolor 27 3 setosa 3 versicolor 28 3.4 setosa 2.8 versicolor 29 3.5 setosa 3 versicolor 30 3.4 setosa 2.9 versicolor 31 3.2 setosa 2.6 versicolor 32 3.1 setosa 2.4 versicolor 33 3.4 setosa 2.4 versicolor 34 4.1 setosa 2.7 versicolor 35 4.2 setosa 2.7 versicolor 36 3.1 setosa 3 versicolor 37 3.2 setosa 3.4 versicolor 38 3.5 setosa 3.1 versicolor 39 3.6 setosa 2.3 versicolor 40 3 setosa 3 versicolor 41 3.4 setosa 2.5 versicolor 42 3.5 setosa 2.6 versicolor 43 2.3 setosa 3 versicolor 44 3.2 setosa 2.6 versicolor 45 3.5 setosa 2.3 versicolor 46 3.8 setosa 2.7 versicolor 47 3 setosa 3 versicolor 48 3.8 setosa 2.9 versicolor 49 3.2 setosa 2.9 versicolor 50 3.7 setosa 2.5 versicolor 51 3.3 setosa 2.8 versicolor 52