Question 1 Dr. Sarah Howell wishes to try three different cancer treatment her patients who were diagnosed with Stage 2 cancer. She assigned 12 of her patients into three treatment groups with the aim of determining whether there is a difference in the mean number of days a patient can withstand the treatment. (i). State the null and alternative hypotheses ( 2 marks) (ii). Computing SST, SSE, and SS total. ( 8 marks) (iii). Calculate the between - sample (MST) and the within - sample (MSE) variances. (4 marks) (iv). Calculate the value of the test statistic F. (2 marks) (v). Find the critical value of F at a 1% significance level. (2 marks) (vi). What is the conclusion that should be drawn about the hypotheses? (2 marks)