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The table summarizes information in several categories about the 9 stores in a small grocery chain. The table also includes chain-wide averages where appropriate.
| Store | Self check express lanes | Self-check unlimited lanes | Pharmacy | Fuel | Restaurant | Average customer age |
|---|---|---|---|---|---|---|
| A | 8 | 4 | yes | no | no | 34.5 |
| B | 8 | 6 | no | no | no | 28.4 |
| C | 6 | 4 | yes | no | yes | 32 |
| D | 8 | 0 | yes | no | no | 50.5 |
| E | 12 | 4 | yes | yes | no | 42.5 |
| F | 8 | 6 | no | no | yes | 34.6 |
| G | 8 | 0 | no | yes | no | 38.8 |
| H | 4 | 8 | yes | no | yes | 29.9 |
| I | 0 | 0 | yes | yes | yes | 56.7 |
| averages | 6.89 | 3.56 | — | — | — | 38.73 |
For each of the following statements, select True if the statement can be verified to be true based on the information provided. Otherwise, select False.
Each of the stores with an above-average customer age has a restaurant.
Store E is the only listed store that has fuel service and pharmacy service but does not have a restaurant.
Each of the stores that has fewer self-check unlimited lanes than the chain-wide average has an average customer age that is higher than the chain-wide average.
Looking at the three statements about store characteristics:
Statement 1: "Every store whose customers have an above-average age offers restaurant service." To analyze this, I need to find stores with \(\mathrm{customer\ age} > 38.73\) and check if they ALL offer restaurant service. Sorting by customer age reveals stores D, E, and I have above-average ages. Checking their restaurant service: Store D (No), Store E (No), Store I (Yes). Since Store D has above-average age but no restaurant service, this statement is False.
Statement 2: "Store E is the only store that offers both fuel service and pharmacy service but does not offer restaurant service." I need to find stores offering both fuel AND pharmacy services, then check which don't offer restaurant service. Scanning the data: Only stores A, E, and I offer fuel service. Among these, only E and I also offer pharmacy service. Finally, checking restaurant service: Store E (No restaurant), Store I (Yes restaurant). Therefore, Store E is indeed the only store meeting all criteria. This statement is True.
Statement 3: "All stores with a below-average number of self-check unlimited lanes have an above-average customer age." Stores with below-average self-check lanes include D, G, and I (all have 0 lanes). Checking their customer ages: All three have ages above \(38.73\). Since all stores with below-average lanes have above-average customer age, this statement is True.
Final results: Statement 1 (False), Statement 2 (True), Statement 3 (True). The answer is B (False, True, True).
Each of the stores with an above-average customer age has a restaurant.
Store E is the only listed store that has fuel service and pharmacy service but does not have a restaurant.
Each of the stores that has fewer self-check unlimited lanes than the chain-wide average has an average customer age that is higher than the chain-wide average.