A sales manager for a company that makes commercial ovens for restaurants is interested in estimating the average number of restaurants in all metropolitan areas across the entire country. He does not have access to the data for each metropolitan
location, so he had decided to select a sample that will be representative of all such areas, and will use a sample size of 30 . Do you believe that simple random sampling is the best approach to obtaining a representative subset of the metropolitan areas in the given frame? Explain. If not, recommend how the sales manager might proceed to select a better sample of size 30 from this data?
Using a simple random sample may not be the best approach. If you are trying to determine the number of restaurants in metropolitan areas, it seems as though this would be somewhat dependent on the size (population) of the metropolitan areas under investigation. It may be better to stratify the samples. You could divide the metropolitan areas into several strata based on their population and then sample within each stratum. This may be more representative of the metropolitan areas across the country.
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