It is claimed that the average weekly food expenditure of families with 2 children is $95. A random sample of 100 such families is taken to test this claim. The families in the sample have a mean expenditure of $92.80, with a standard deviation of $10.30. (i) Formulate the appropriate null and alternative hypotheses [0.5 marks] (ii) Write down the appropriate test statistic and test at the 0.05 and 0.01 levels of significance whether this evidence contradicts the claim. [0.5 marks]