In: Statistics and Probability
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______________________________