Set up the null and alternative hypotheses needed to attempt to establish that the mean weekly expense for the shopping plan at Miller$$s exceeds the mean weekly expense at Albert$$s by more than $$5.$ Test the hypotheses at the $\mathrm{.}10,\mathrm{.}05,\mathrm{.}01,$ and $\mathrm{.}001$ levels of significance. How much evidence is there that the mean weekly expense at Miller$$s exceeds that at Albert$$s by more than $$5?($Round your answer sp$2$ to $4$ decimal places and t$-$value to $3$ decimal places.$)$