Final answer:
The internal battery lifespan for a standby attitude indicator depends on the battery's capacity and the power consumption of the indicator. Similar to the provided example of a 1 W LED array being powered for 4.5 hours by a 4.5 Wh battery, the indicator's lifespan could be deduced similarly if its power consumption is known. Further testing may be required to ensure the reliability of the manufacturer's claims.
Step-by-step explanation:
The lifespan of the internal battery when providing power to the standby attitude indicator depends on the battery's capacity and the power consumption of the indicator. In the example of powering a 1 W LED array, a 4.5 Wh (Watt-hour) battery can power the LED for 4.5 hours because the energy used per hour is the same as the power rating, 1 W. Thus, for a standby attitude indicator with similar power consumption, one could expect a similar duration from a 4.5 Wh battery.
However, the actual performance may vary based on the internal resistance of the battery as well as the specific consumption patterns of the device it's powering. For instance, if the attitude indicator is only required for 12 hours or operates at half-power for 24 hours, the battery should suffice for that duration. Nonetheless, an indicator may consume more power than the LED array in the example, thus reducing the battery life span proportionately.
In a real-world scenario, verifying the battery's expected lifespan against its actual performance is a critical step. For instance, a statistics class experiment showed that a sample of batteries had a mean life span of 16.7 hours, which was less than the 17 hours claimed by the manufacturer, leading to a questioning of the claim. An understanding of the battery's capacity and its power delivery, along with testing, can ensure the reliability of standby equipment such as an attitude indicator.