Question: Information Resources Inc., a Chicago-based research organization, tracks supermarket sales in 28 metropolitan markets in the United States. They convert their data for specific products to an index that measures product usage relative to the national average usage. For example, Green Bay, Wisconsin's 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 lists the salad dressings index for each in a sample of seven Southeastern cities.

1. Specify the appropriate null and alternative hypo- theses for testing whether the true mean consumption rate of salad dressings in the Southeastern United States is different than the mean national consumption rate of 100.
2. What assumptions about the sample and population must hold in order for it to be appropriate to use a (statistic in conducting the hypothesis test?
3. Conduct the hypothesis test using a = .05.
4. Is the observed significance. level of the test greater or less than .05? Justify your answer.

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