Testing the Difference Between Two Means In Exercise 12, (a) identify the claim

Question

Testing the Difference Between Two Means In Exercise 12, (a) identify the claim and state Ho and Hat, (b) find the critical value(s) and identity the rejection region(s), (c) calculate d and sd, (d) find the standardized test statistic t, (e) decide whether to reject or fail to reject the null hypothesis, and 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. Batting Averages 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 alpha = 0.05, is there enough evidence to support the coach's claim?

Explanation / Answer

as p value is greater then 0.05 level we can not reject null hypothesis that mean value is same before and after coaching.

And hence does not have sufficient evidence to accept coach's claim

before After difference(d) 0.29 0.295 0.005 0.275 0.32 0.045 0.278 0.28 0.002 0.31 0.3 -0.01 0.302 0.298 -0.004 0.325 0.33 0.005 0.256 0.26 0.004 0.35 0.345 -0.005 0.38 0.38 0 0.316 0.315 -0.001 0.27 0.28 0.01 0.3 0.282 -0.018 0.33 0.336 0.006 0.34 0.325 -0.015 mean 0.002 std deviaition 0.0149 sample size 14.0000 std error= std dev/(n)^(1/2) 0.0040 t stat= (d)/std error 0.4309 p value = 0.3368

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