In a study of length of time spent on individual home visits by public health nurses, data were reported on the length of home visits (in minute a sample of 80 nurses. A record was made on each nurse's age and the type of illness minutes) for a san ness of each patient visited and is summarized in Table 1 below. The researchers' objective was to investigate the following: does the mean lengths of home visits differ among the age groups of the nurses, do urses, does the type of patient affect the mean length of home visits and is there any interaction between nurse's age and type of patient? Capture the data on an excel spreadsheet. Note that the data must be in the following format: Column 1 represents the observed lengths of time, column 2 identifies the type of patient and column 3 contains the age group of the nurse. Import the data in R and answer the questions that follow. Present or attach the relevant R outputs used to answer your questions. Table 1: Length of Home visits in minutes by Public Health Nurses by Nurse's age group and Type of patient Factor B (Age group of nurse in years) Factor A (Type of patient) (20 - 29) (30 -39) (40 -49) (50 and over) Cardiac 20 25 24 28 25 30 28 31 22 29 24 26 27 28 25 29 21 30 30 32 Cancer 30 30 39 40 45 29 42 45 30 31 36 50 35 30 42 45 36 30 40 60 31 32 41 42 C.V.A 35 45 50 30 40 30 40 40 35 40 40 55 30 50 35 45 23 24 29 Tuberculosis 20 21 25 24 30 28 20 28 30 20 30 26 21 31 23 30 19 (6) 2.1 Produce interaction plots of the data and comment. 2.2 Give the appropriate model and assumptions. Note: You must define the termsotations 10) used in the model using the given information. (10) 2.3 Perform a two-way analysis of variance (ANOVA) and provide the ANOVA table 2.4 Estimate the variance components using the ANOVA method and interpret the results. (8) 3