Alibaba is a massive online retailer in China. While shopping online, a Chinese international student wanted to see if prices are generally similar between Alibaba and Amazon. She took a random sample of $41$ of products listed on both retailers' platforms and compared the price for each product on Alibaba with the corresponding price on Amazon.

$($a$)$ To determine if there is a difference between the Alibaba and Amazon prices, which type of test should the student use?

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