A sports statistician claims that the numbers of passing yards for college football quarterbacks change from their junior to their senior years. The table shows the numbers of passing yards for 10 college football quarterbacks in their junior and senior years. At α = 0.05, is there enough evidence to support the sports statistician’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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Player 3 4 5 Passing yards (junior year) 3853 2701 2517 2291 2827 2946 Passing yards (senior year) 2184 3540 3557 2169 Player 10 Passing yards (junior year) 3145 4332 1001 2401 1984 Passing yards (senior year) 3328 3348 1464 2366 2273