A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were \($947\) and \($1,011,\) respectively. The population standard deviations are known to be \($254\) and \($87,\) respectively. Conduct a hypothesis test to determine if the means are statistically the same.