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In the farms of Protein Source Inc., Australian cows provide on average 12.8 litres of milk per week with a standard deviation of 1.2 litres. A new herd of English cows are being assessed for future inclusion in the farms. In 50 such English cows, the mean weekly milk production was found to be 12.3 litres. a) State the appropriate hypotheses to test whether the mean weekly milk production of English cows is the same as that of Australian cows. [2 marks] b) Describe Type I and Type II errors in this context, and comment on the severity of each type of error. [3 marks] c) Test the hypotheses stated in part (a) at a 1% level of significance, and comment on your findings. [5 marks]