Final answer:
High Voltage should use a matched pairs single-sample analysis by pairing its bulbs with a competitor's bulbs in identical conditions to measure life span differences.
Step-by-step explanation:
An appropriate test for High Voltage to determine if there's a difference in mean life span between its product and that of a competitor would be through a matched pairs single-sample analysis. Specifically, they should set up an experiment where bulbs from both companies are paired, with each pair consisting of a High Voltage bulb and a competitor's bulb. These pairs should then be placed in identical light fixtures to measure the life span difference. This method ensures that any variations in conditions are applied equally to both types of bulbs, hence the results would only be due to the differences in the bulbs themselves. This is a more controlled and accurate approach than taking separate samples or relying on surveys since it directly compares the products under identical conditions.
Complete Question:
Management at High Voltage, a light bulb manufacturer, wants to know if there's a difference in mean life span between its product and that of a competitor. To answer this question, what would be an appropriate test using matched pairs single-sample analysis?
High Voltage should take a random sample of its own light bulbs and a random sample of its competitor's. Each of these bulbs should be plugged into a different socket and have its life span measured.
High Voltage should take a random sample of its competitor's bulbs only, because it already has data on its own bulbs from a previous study.
High Voltage should conduct a survey based on a random sample of its own customers and those of its competitor and record their responses regarding the life span of their light bulbs.
High Voltage should set up an experiment where randomly selected bulbs from both companies are paired, with each pair consisting of a High Voltage bulb and a competitor's bulb. Researchers should place each pair of bulbs in identical light fixtures and measure the difference in their life spans.
Matched pairs analysis can't be used to solve this problem.