3. Manuel is planning to buy a new machine to squeeze oranges in his cafe and he has two models, at the same price, on trial. The manufacturers of machine \(B\) claim that their machine produces more juice from an orange than machine \(A\). To test this claim Manuel takes a random sample of 8 oranges, cuts them in half and puts one half in machine \(A\) and the other half in machine \(B\). The amount of juice, in ml , produced by each machine is given in the table below.
| Orange | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Machine \(A\) | 60 | 58 | 55 | 53 | 52 | 51 | 54 | 56 |
| Machine \(B\) | 61 | 60 | 58 | 52 | 55 | 50 | 52 | 58 |
Stating your hypotheses clearly, test, at the \(10 \%\) level of significance, whether or not the mean amount of juice produced by machine \(B\) is more than the mean amount produced by machine \(A\).