5)information resources, Inc , a Chicago-based research organization , tracks supermarket sales in 28 mtropolitan markets in the united states , they convert their data for specific products to an index that measure products usage relative to the national average usage. For example , Green Bay , Wisconsinís , ketchup index is 143 , the highest in the nation. This means that Green Bay Residents consume 43 % more ketchup , on average , than the mean national consumption rate. The table list the salad dressing index for each in a sample of seven southeastern cities. These data are saved in the SALAD file .
Charlotte, N.C. = 124 Birmingham , Al. = 99 Raleigh , N.C. = 124 Knocville,Tenn. =99
Memphis , Tenn =90 Atlanta ,Ga = 111 Nashville,Tenn. = 89
a)Specify the appropriate null and alternative hypotheses for testing whether the true mean consumption rate of salad dressings in the southheastern united states is different than the mean national consumption rate of 100.
What assumptions about the sample and population must hold in order for it to be appropriate to use a t-statistic in conducting the hypothesis test ?