Revised 11/10/2010 2201 Quiz3Adocm 2. A weight-lifting coach claims that weight-

Question

Revised 11/10/2010 2201 Quiz3Adocm 2. A weight-lifting coach claims that weight-lifters can increase their strength by taking a certain supplement. To test his theory, the coach randomly selects 9 athletes and gives them a strength test using a bench press Thirty days later after regular training using the supplement, they are tested again. The results are listed below. Test the claim that the supplement is effective in increasing the athlete's strength. Use significance 0.10 and assume that the data are distributed normally Before: 215 240 188212 275 260 225 200 182 After: 225 245 188 210 282 275 230 195 190 S 8 Difference: -10 S 2 7 -155 Difference: 9 .78 6.24 2A. What is the appropriate set of hypotheses (HO, H1)? Ha=0, A 0 2B. What is the correct value of the test statistic? .2.30 +6.51 -4.44 -6.51 2C. What is the correct P-value for this test statistic? 0025 0.050 0.020 0.100 2D. Does the supplement significantly increase the athletes strength? -Yes No. . Depends on distribution. Page 2 of 7 Revised 11/10/2010

Explanation / Answer

2)A) Option-C is the correct answer.

2B) Test static = mean difference/(s/sqrt(n))

= -4.78/(6.24/sqrt(n))

= -4.78/(6.24/3) = -2.298 = -2.30

Option-A is the correct answer.

P-VALUE = P(T < -2.298)

= 0.0253 = 0.025

Option-A is the correct answer.

2D) As the p-value is greater than the significance level (0.01) SO the null hypothesis is not rejected.So the supplement can't significantly increase the athlete's strength.

So Option-B is the correct answer.

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