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 minutes] for a sample of 8-D nurses. A record was made on each nurse's age and the type of illness 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, 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 identies 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 \f2.5 2.5 Lls'ng a 5% level of signicance, test all the possible hypotheses, namely. i} does the mem length of home visits dier among dilterent age groups of nurses {Ho = l11 = \"a = I11:1: '34}? ii} does the type of patient affect the mean length of home visit {HI| : .81 = 33 = fig: fig}? iii} is there my interactim between the nurse's age and type of patient {{Ho = (asp = n}? Provide the null and alternative hypotheses, critical region {or rejection region}, test statistic and oonclusions. [13} Investigate the regression diagnostics for your model and comment on vvhether the assumtions have been met or not. {H}