You are curious about the accuracy of the estimates that the widget store owner gave you....

You are curious about the accuracy of the estimates that the widget store owner gave you. If you wanted to take a random sample of daily customer arrivals, from which of the following is the population you should sample?

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The number of arrivals each day for this widget store and the competing widget store down the street.

The number of arrivals each day for all days this specific widget store has been open.

The number of arrivals each day for this specific widget over the past month.

A random, representative sample of the number of arrivals each day to this specific widget store.

Expert Solution

Correct option:

The correct answer is: The number of arrivals each day for all days this specific widget store has been open.

Explanation:

In random sampling, each individual of the group is chosen entirely by chance and each member of the population has an equal chance (or probability) of being selected. To create a random sample, one has to ensure that the sample space consists of equally likely data sets.

In the given case, equally likely events are showcased by the number of arrivals each day for the specified store. However, we should only consider the number of arrivals on the days the store has been open (number of arrivals on closed days would be zero and would act as redundant data within the sample space).

The third option, i.e. the number of arrivals each day for all days this specific widget store has been open, is the only option that specifies 'for all days the store has been open'. Hence, it is the only correct option amongst the given options.

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Hope this helps!

orchestra answered 2 years ago

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