*no explain, just answer*

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 $949 and $1015, respectively. The population standard deviations are known to be $259 and $88, respectively. Conduct a hypothesis test at the 5% significance level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university.

State the null hypothesis.

H₀: _{c u}

H₀: _c = _u

H₀: _c > _u

H₀: _{c u}

State the alternative hypothesis.

H_a: _c = _u

H_a: _c > _u

H_a: _{c u}

H_a: _c < _u

In words, state what your random variable X_c X_u represents.

X_c X_u represents the average difference in the cost of textbooks at four-year universities and community colleges.

X_c X_u represents the difference in the cost of textbooks at four-year universities and community colleges.

X_c X_u represents the average cost of textbooks.

X_c X_u represents the difference in the average cost of textbooks at four-year universities and community colleges.