8 Question 1 continued (e) State the degrees of freedom and the critical value for a χ 2 test based on the data in Figure 2. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (f) Investigate whether the data in Figure 2 provides sufficient evidence to conclude that the species of a whale, sighted in the Southern Ocean, is not independent of the month of the year in which it is sighted. You must demonstrate the use of your answers to both parts (d) and (e). You should assume that the samples were random and that each whale sighting is independent of the others. Describe the nature of any association found between species of whale and month of sighting. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________