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 $946 and $1013, respectively. The population standard deviations are known to be $259 and $85, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university. a. State the distribution to use for the test. (Round your answers to two decimal places.)

b. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

c. What is the p-value? (Round your answer to four decimal places.)