Question

In: Statistics and Probability

a) A physical education director claims by taking a special vitamin, a weight lifter can increase...

a) A physical education director claims by taking a special vitamin, a weight lifter can increase his strength. Eight athletes are selected and given a test of strength, using the standard bench press. After two weeks of regular training, supplemented with the vitamin, they are tested again. Test the vitamin regimen is effective in increasing strength at the .05 level of significance. Each value in the data that follow represents the maximum number of pounds the athlete can bench press. Assume both populations normal.

athlete 1 2 3 4 5 6 7 8

Before 210 230 182 205 262 253 219 216

after 219 236 179 204 270 250 222 216

claim ………………………………................ ________________________

null hypothesis…………………………………. ________________________

alternative hypothesis………………………….. ________________________

Calculator Screen Name……………………… ________________________

test statistic ………………………… ________________________

pvalue/alpha comparison………………………. ________________________

decision …………………………. ________________________

Conclusion …………………………. ________________________

Construct a 95% confidence interval for, µd , the mean difference of the before minus the after times. Interpret the interval in a complete sentence.

Confidence Interval Name__________________________________

Interval___________________________________________

Interpret______________________________

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