Question: Harry Hutchings is the owner of Hutchings Weightlifting Clinic.  He claims that by taking a special vitamin, a weightlifter can increase his strength.  Ten student athletes are randomly 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.  The results are shown below.

Weight

Name       Before     After

Evie Corky      190         196

Bob Mack       250         240

Lou Brandon   345         345

Karl Unger      210         212

Sue Koontz     114         113

Pat O'Leary    126          129

Kim Dennis     186          189

Connie Kaye   116          115

Tom Dama      196          194

Maxine Sims   125          124

At the .01 level of significance, can we conclude the special vitamin increased the strength of the student athletes?

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