A coach claims that a baseball clinic will help players raise their batting averages. The table shows the batting averages of 14 players before participating in the clinic and two months after participating in the clinic. At α = 0.05, is there enough evidence to support the coach’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 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 4 0.290 0.275 0.278 0.310 0.300.325 0.256 0.295 0.320 0280 0.300 0.298 0.330 0.260 8 9 1011 13 14 0.350 0.380 0316 0.270 0.30 0.330 0.340 3 Batting aver02 (before clinic) Batting avera (after clinic) Player Batting average (before clinic) Batting average 0.345 0.380 0150.280 0.282 0.336 0.325 after clinic)