A,B and C Will follow up further parts A trainer wants to investigate the training regimes used by competitorswanting to improve their run times. The trainer decides to use simplerandom sampling to select 20 competitors at the winter triathlon to takepart in their investigation.(a) Why is the sample not guaranteed to be a representative sample withrespect to the classes of events?One variable about the running training that could usefully be collected ishow easy the typical terrain used in training was, split into the followingcategories: 'very easy', 'easy', 'moderate', 'hard', 'very hard'.(b) Give a reason why this variable could be regarded as subjective data.(c) Give a reason why this variable could be regarded as ordinal data.Suppose that the trainer has come up with a new idea for a running trainingprogram and wishes to investigate whether this new training program ismore successful than their standard training program. The trainer is mostinterested in whether the time taken to complete the run portion of thetriathlon will be reduced if athletes use the new training program to preparefor their next event.(d) Explain why a double-blind trial would not be possible in thisinvestigation.(e) Give a reason why a crossover design might not be suitable for thisinvestigation.Suppose a matched-pairs design is used and 10 pairs of competitors areselected. One member of each pair is randomly selected to follow the newtraining program and the other member follows the standard training.(f) State the hypothes that can be used for this matched pair t-test, usingnotation that you should define.(g) Give a reason why this hypothesis test might not turn out to besuitable.(h) Suppose that further analysis later suggested a Type 2 error had beenmade. What does this mean in terms of the evidence against the nullhypothesis that was found in the initial analysis? What impact mightthis error have had on the choice of training program in the future?

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A trainer is interested to study the training programs used by competitors to…