Final answer:
The hypothesis that is not related to a paired-samples t-test compares gym prices for the silver plan between different regions. Paired-samples t-tests are used for comparing two related sample means or measuring changes within the same pairs.
Step-by-step explanation:
The hypothesis not related to a paired-samples t-test is: "a gym's price for the silver plan in states located in the northeast is greater than the price for that same plan in states located in the southwest." This hypothesis compares two different groups (northeast states vs. southwest states) and their respective gym prices, which indicates independent samples rather than paired or matched samples. A paired-samples t-test is designed for situations where two measurements are taken from the same pair of individuals or objects, such as before-and-after scenarios or matched pairs.
In matched or paired sample hypothesis tests, we typically compare two sample means or examine changes within the same pair. Hence, the correct hypotheses related to paired-samples t-tests would be situations like comparing households' expenditure on clothes to their expenditure on shoes, if the same households are surveyed for both, or comparing a gym's prices for different plans within the same states, or exam scores for the same group of students before and after a review session.