Objective 15f Formulate hypothesis tests involving samples from two populations regarding the mean difference between matched pairs. And Objective 8c Calculate probabilities using t-distributions.

A researcher claimed reaction time can be shortened after meditating for 10 minutes. A randomly selected group of people had their reaction time measured in a driving simulator. Then, after meditating for 10 minutes, their reaction time was measured again. Here is the data, with times in milliseconds: Test the researchers claim at the 1% significance level. Use the p-value method. Subject A B C D E F Reaction Time without meditation 302 316 285 305 254 279 Reaction Time after meditating 251 285 287 254 214 284