A student working on a history project decided to find a 95 percent confidence interval for the difference in mean age at the time of election to office for former american presidents versus former british prime ministers. the student found the ages at the time of election to office for the members of both groups, which included all of the american presidents and all of the british prime ministers, and used a calculator to find the 95 percent confidence interval based on the t-distribution. this procedure is not appropriate in this context because
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