Required: i) Carry out a two-way analysis of variance. Produce an appropriate summary table. ii) Test whether there is a significant difference in the average number of sub-standard cans for the four production lines. iii) Test whether there is a significant difference in the average number of substandard cans for the three shifts. iv) Write a report on your findings. Indicate any other information you would require. Detail your recommendation for further research and analyses. Question 2 Mr. Oluambo, a new fiction author, wishes to know whether there is any relationship between a book's length and the price charged for the book. He chooses a random sample of 10 novels and records the length and price of each as follows: Length (pages) 520 680 740 350 E- a) Is there a significant relationship between novel length and its price? (use p-test) b) Develop a regression model for predicting price of novel using its length. c) Test the significance of the model using t test, R and Ftest Question 3 For the grouped data in question 4: a) Find an interval estimate if the actual average performance in the examination was 72 percent. Would we be right to say that this group of candidates performed below the nnnnnnnn ')