A college administrator suggests that student housing rates have increased from one academic year to the next. The table shows the rates (in dollars per academic year) for 12 student housing arrangement options in two consecutive academic years. At α = 0.05, is there enough evidence to support the college administrator’s claim?

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value(s) and identify the rejection region(s), 

(c) Calculate d and s_d, 

(d) Find the standardized test statistic t, 

(e) Decide whether to reject or fail to reject the null hypothesis, and 

(f ) interpret the decision in the context of the original claim. Assume the samples are random and dependent, and the populations are normally distributed.

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2 3 Option 4 5 Rate (first year) 6150 4488 5738 5738 6064 6150 Rate (second year) 4616 5910 5910 6246 6246 6246 Option 10 11 12 Rate (first year) 7288 9230 5738 5738 6064 7288 Rate (second year) 8454 7518 9516 5910 5910 6246