The scoring averages (in points per game) of 10 professional basketball players for their rookie and sophomore seasons are shown in the table below. At α = 0.10, is there enough evidence to support the claim that the scoring averages have changed?

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

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

(c) Calculate d̅ and s_d,

(d) Find the standardized test statistic t,

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

(f) Interpret the decision in the context of the original claim. Assume the samples are random and dependent, and the populations are normally distributed. If convenient, use technology.

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Player 1 23 4 5 6 7 8910 Points per game 18.5 13.9 16.1 15.3 16.8 13.0 119 118 11.1 11.1 (rookie) Points per game17.5 14.7 16.9 16.3 204 18.9 14.6 6.3 14.2 12.5 (sophomore)