PART 2. A well-known data set first published by R.A. Fisher in 1936 listed petal and sepal lengths (in cm) of various irises (flowers). This data was collected by Edgar Anderson during his studies of three species of irises. Sepals are the generally green part of the flower bud that protects the flower petals and provides support for the petals when the flower blooms. The table below shows part of the data set called Iris. Case Sepal_Length Sepal_Width Petal Length Petal_Width Species 1 5.1 3.5 1.4 0.2 setosa 2 4.9 3 1.4 0.2 setosa 3 4.7 3.2 1.3 0.2 setosa : 150 5.9 3 5.1 1.8 virginica 6. What are the cases? 7. There are 5 variables in this data set. a. Four of them (sepal & petal lengths & widths) are: quantitative categorical. b. One of them (species) is c. How many levels does the categorical variable have? quantitative categorical. One question we could ask about irises in general is whether we can quantify the relationship between sepal length and sepal width, if there is one. A scatterplot of this relationship appears below. Sepal Length Scatterplot of Sepal Length vs Width 7.5 O 6.5 8 5.5 0 OO OOO 80 8 DOO OO 8 4.5 COO @O O 00 @o Omo OOO O@ DO 2.0 2.5 3.0 3.5 4.0 anottailing Sepal Width 8. Does the scatterplot indicate that there is a relationship between sepal width and length? Explain. red Step 3: Compute the expected counts for each cell, the x2 test statistic, and find the p-value. Draw a picture of the sampling distribution and shade the area corresponding to the p-value. Below Grade Level At Grade Level Advanced Total Pre-school 8 6 6 20 No Pre-school 6 15 9 30 Total 14 21 15 50 Step 4: State the conclusion.