Five Please note: This assignment must be submitted as a single PDF file, see "One Small PDF" in the Resources section of LMS for information on making a PDF. Please practice making such a PDF well before assignment submission. Data (VOmaxFemales.csv) is in the Data Files section on LMS Visualisations should be publication quality (title, labels, etc) Those using R are not required to provide code unless it is essential to understanding the answer provided 1. [24 marks] A fitness trainer uses maximal oxygen uptake (VO2max, ml/kg/min) as a measure of cardiovascular health. They have developed a new training program and have recruited 30 females aged 30-39 to train with them. They measure VO2max prior to training and at the conclusion of the program 12 weeks later. Has the VO2max changed? [A full analysis is required with Justification of approach [2] null/alternative hypothesis [4] visualisation [3] description of the visualisation (location, spread, shape) [1] assumptions [6] is this analysis valid? [1] analysis in R/Excel [2] interpretation (including a confidence interval) [5]]. 2. [4 marks] A group of elite athletes were assigned to one of two groups: primarily animal protein and primarily plant protein. All meals and snacks were provided for a period of 4 weeks. At the end of the 4 weeks the athletes did some tests including the ability to lift weights as measured by recording their maximum weight lifted in a single repetition. Should this scenario be analysed with a paired t-test or independent sample t-test/regression with a categorical variable with two levels? [Title]