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Scores on a psychological test are modelled as having a normal distribution with a mean of 100 and a standard deviation of 10. Assume that this model is correct and that a random sample of 200 observations is to be obtained. (a) Indicate values that you would expect to observe for the...

Question 1: (10 marks) A group of Australian researchers investigated the effect of ingesting ice slurry (i.e. drinking a fruitflavoured ice slushie) on running performance. Of particular interest was whether ingesting an ice slushie would increase endurance (i.e. time subjects could run before...

1. Individuals are assigned a happiness score (H) and a contentment score (C). Both take values in the interval (0-100), with 100 representing total happiness or contentment respectively. For a sample of 245 individuals, it is found that the correlation between H and C is 0.32. If we define...