Please help

1. You are investigating a severe gastrointestinal symptoms from infection with COVID-19. In the file entitled Control Weights, you will find the observed body weights for 20 individuals. Assuming that this is a representative sample of your population from which you can infer the variability surrounding the central tendency, perform a sample size calculation to determine how many subjects would be needed to go on the new diet to observe a 10kg increase in weight. Rerun the analysis to determine the sample size for creases in weight of 5kg and 2kg. Your calculations should utilize conventional values for Power and Alpha. Summarize the phenomenon that you have observed. 2. You are interested in patients' perception of breathing difficulties for those who are greater than 6 months recovered from COVID-19 but did not require hospitalization. Your target demographic is between the ages of 60 -70 years old. You have identified 100 patient's meeting the criteria to be classified as a case and from interviewing these folks, you have ascertained that 18% of them believe that they have persistent breathing difficulties. In your literature review, you find that 7% of people without a history of COVID-19 infection in the same age range report having breathing difficulties. Utilizing conventional values for Power and Alpha, how many controls would you need to potentially demonstrate enhanced persistent breathing difficulties associated with COVID-19 infection