Problem 3

Grocery costs vary for different families, but a researcher wants to study the weekly cost of groceries for typical Florida families at four different grocery chains in South Florida. To do this the researcher looks at weekly costs for groceries at the four stores for four different families. Each family will visit a different one of the four stores to shop each week for a month. The families will randomly be assigned to the stores each week. Use the data below and a 2.5% significance level to test the claim that the four stores have different average grocery prices.

                                                           Store
Family       Publix         Target           Costco            Whole Foods
    1               210             195               200                         315
    2               300             250               275                         400
    3               176             171               189                         223
    4               148             127               130                         162