$11\mathrm{.}26($Use R$)$ Is there a difference in the prices if you shop as an impulsive shopper, if you shop as a savvy shopper, if you shop at a warehouse club such as Costco, or if you purchase store brands? To investigate this, a random sample of $10$ purchases was selected, and the prices were compared. $($Data extracted from $$Shop Smart and Save Big,$$ Consumer Reports, May $2009,$ p$.17.)$ The prices for the products are stored in Shopping$2.$xls

a$.$ At the $0\mathrm{.}05$ level of significance, is there evidence of a difference between the mean price of an impulsive shopper, a savvy shopper, a shopper at a warehouse club such as Costco, or a purchaser of store brands?