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

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