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Quick Quiche is a fast-food restaurant that has $150\text{ locations}$ in the southeast region. The regional manager will randomly select $10\text{ restaurants}$ to make a surprise inspection. He assigns each restaurant a unique number between $1$ and $150$.

He then draws ten pairs of numbers from a random digit table. The manager will make a surprise visit to the restaurants corresponding to those numbers.

Which statement best describes the main flaw in the sampling method for this study?

A

All the restaurants do not have the same chance of being chosen. The manager should make a surprise visit to the restaurants whose numbers were a multiple of $15$.

B

All the restaurants do not have the same chance of being chosen. The manager is only selecting pairs of numbers from the random digit table. Restaurants with the numbers $1$ to $9$ and $100$ to $150$ have no chance of being chosen.

C

All the restaurants do not have the same chance of being chosen. Restaurants labeled with repeating digits (such as $33$ or $88$) have a smaller chance of being selected because it is unlikely that a number would repeat on a random digit table.

D

This is a convenience sample. Only the restaurants that are easy to reach by car are being sampled.

E

The regional manager should not be selecting the sample. The sample should be chosen by someone who does not work for Quick Quiche.

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